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1 | (94) |
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1 | (2) |
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1.2 A new kind of astronomy |
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3 | (3) |
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6 | (1) |
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1.4 On the back of an envelope |
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7 | (3) |
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1.5 Binary inspiral and merger |
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10 | (4) |
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14 | (1) |
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1.7 Spinning neutron stars |
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15 | (3) |
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18 | (1) |
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1.9 Many different messengers |
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18 | (1) |
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19 | (6) |
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Part 1 From theory to experiment |
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2 A brief survey of general relativity |
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25 | (2) |
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2.1 A simple thought experiment |
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27 | (1) |
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28 | (3) |
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2.3 Introducing the metric |
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31 | (3) |
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34 | (5) |
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2.5 The covariant derivative |
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39 | (2) |
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2.6 The geodesic equation |
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41 | (2) |
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43 | (2) |
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2.8 A little bit of matter |
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45 | (2) |
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2.9 Geodesic deviation and Einstein's equations |
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47 | (4) |
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51 | (22) |
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3.1 Weak waves in an otherwise flat spacetime |
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52 | (2) |
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54 | (2) |
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56 | (2) |
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3.4 Transverse-traceless (TT) gauge |
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58 | (3) |
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3.5 The quadrupole formula |
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61 | (3) |
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3.6 The energy carried by gravitational waves |
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64 | (3) |
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3.7 The radiation reaction force |
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67 | (3) |
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3.8 The radiated angular momentum |
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70 | (1) |
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3.9 A stab at perturbation theory |
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71 | (2) |
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4 From black holes to stars and the Universe at large |
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73 | (17) |
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4.1 The Schwarzschild solution |
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73 | (2) |
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75 | (2) |
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77 | (1) |
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78 | (4) |
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4.5 Modelling the Universe |
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82 | (3) |
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85 | (5) |
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90 | (15) |
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5.1 Basic celestial mechanics |
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90 | (5) |
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95 | (3) |
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98 | (1) |
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99 | (3) |
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5.5 The orbital evolution |
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102 | (3) |
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6 Spinning stars and cosmic recycling |
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105 | (20) |
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6.1 Rotating deformed stars |
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105 | (5) |
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110 | (2) |
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112 | (4) |
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116 | (3) |
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119 | (6) |
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125 | (25) |
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7.1 Resonant mass detectors |
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126 | (2) |
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7.2 Gravitational waves and light beams |
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128 | (5) |
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7.3 Advanced interferometers |
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133 | (4) |
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7.4 An international network |
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137 | (3) |
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140 | (2) |
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7.6 The road to the future |
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142 | (6) |
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148 | (1) |
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149 | (1) |
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150 | (27) |
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151 | (2) |
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8.2 Matched filtering and the optimal signal-to-noise ratio |
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153 | (4) |
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8.3 Applications of matched filtering |
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157 | (4) |
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161 | (2) |
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8.5 Stochastic backgrounds |
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163 | (2) |
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8.6 Avoiding false alarms |
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165 | (2) |
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167 | (4) |
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8.8 Geometry in signal analysis |
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171 | (6) |
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Part 2 The dark side of the universe |
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177 | (30) |
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178 | (2) |
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180 | (2) |
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9.3 Chandrasekhar's limit |
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182 | (2) |
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184 | (5) |
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9.5 The rebirth of relativity |
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189 | (2) |
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191 | (4) |
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9.7 The formation of compact binaries |
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195 | (4) |
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9.8 Estimating merger rates |
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199 | (3) |
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202 | (2) |
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9.10 A giant at the centre of the Milky Way |
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204 | (3) |
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207 | (22) |
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208 | (2) |
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10.2 The gravitational redshift |
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210 | (1) |
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211 | (2) |
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213 | (2) |
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215 | (1) |
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10.6 Light rays and black holes |
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216 | (2) |
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10.7 The motion of massive bodies |
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218 | (2) |
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10.8 Perihelion precession |
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220 | (1) |
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221 | (2) |
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223 | (2) |
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10.11 A bit more celestial mechanics |
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225 | (4) |
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229 | (21) |
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11.1 Near and far-zone solutions |
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230 | (5) |
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11.2 A slight aside: symmetric trace-free (STF) tensors |
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235 | (2) |
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11.3 The relaxed Einstein equations |
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237 | (3) |
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240 | (2) |
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11.5 Inspiralling binaries |
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242 | (5) |
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11.6 The effective one body approach |
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247 | (3) |
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250 | (32) |
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12.1 Matter at supranuclear densities |
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250 | (2) |
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12.2 A simple model for npe matter |
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252 | (2) |
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12.3 Determining the equation of state |
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254 | (5) |
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12.4 Observational constraints |
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259 | (1) |
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12.5 The slow-rotation approximation |
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260 | (2) |
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262 | (4) |
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266 | (2) |
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12.8 Rotating relativistic stars |
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268 | (4) |
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12.9 The quasiradial instability |
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272 | (2) |
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12.10 Superfluids and glitches |
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274 | (8) |
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13 From oscillations to instabilities |
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282 | (30) |
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13.1 The fundamental f-mode |
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282 | (5) |
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13.2 General non-rotating stars: p/g-modes |
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287 | (5) |
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13.3 Calculating stellar oscillation modes |
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292 | (3) |
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295 | (3) |
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13.5 Gravitational-wave emission |
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298 | (1) |
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13.6 What do we learn from the ellipsoids? |
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299 | (6) |
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13.7 Lagrangian perturbation theory for rotating stars |
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305 | (4) |
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309 | (3) |
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312 | (49) |
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312 | (4) |
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316 | (4) |
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14.3 Modelling elastic deformations |
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320 | (7) |
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14.4 Searches for known pulsars |
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327 | (2) |
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329 | (4) |
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333 | (4) |
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14.7 The birth of a magnetar |
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337 | (2) |
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339 | (5) |
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14.9 The low-mass X-ray binaries |
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344 | (4) |
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14.10 Magnetic field burial and confinement |
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348 | (3) |
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351 | (2) |
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353 | (4) |
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14.13 Evolution of the wobble angle |
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357 | (4) |
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15 The r-mode instability |
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361 | (30) |
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15.1 The instability window |
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362 | (5) |
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15.2 Complicating factors |
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367 | (5) |
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15.3 A simple spin-evolution model |
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372 | (5) |
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15.4 Nonlinear saturation |
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377 | (4) |
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15.5 Are the gravitational waves detectable? |
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381 | (2) |
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15.6 Astrophysical constraints for young neutron stars |
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383 | (4) |
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15.7 r-modes in accreting systems |
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387 | (4) |
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391 | (28) |
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391 | (1) |
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16.2 Scalar field dynamics |
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392 | (7) |
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16.3 Gravitational perturbations |
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399 | (6) |
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405 | (2) |
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16.5 Test particle motion |
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407 | (3) |
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410 | (9) |
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16.7 The self-force problem |
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419 | (1) |
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419 | (24) |
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419 | (1) |
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17.2 Inertial framedragging |
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419 | (2) |
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421 | (3) |
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17.4 The Newman-Penrose formalism |
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424 | (10) |
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17.5 The Teukolsky equation |
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434 | (5) |
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17.6 Kerr quasinormal modes |
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439 | (1) |
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17.7 GW150914: A faint fingerprint |
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440 | (3) |
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18 Relativistic asteroseismology |
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443 | (36) |
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18.1 Relativistic fluid perturbations |
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443 | (4) |
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18.2 f-and p-modes in relativity |
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447 | (5) |
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452 | (2) |
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454 | (3) |
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18.5 The evolving spectrum of adolescent neutron stars |
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457 | (5) |
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462 | (3) |
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18.7 The relativistic r-modes |
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465 | (5) |
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18.8 The unstable f-modes |
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470 | (9) |
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479 | (29) |
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19.1 The 3+1 decomposition |
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482 | (2) |
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19.2 Evolving the spacetime |
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484 | (2) |
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486 | (3) |
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489 | (2) |
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491 | (2) |
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19.6 2 + 2 and the Bondi news |
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493 | (3) |
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19.7 Milestones and breakthroughs |
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496 | (6) |
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502 | (6) |
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508 | (33) |
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508 | (5) |
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20.2 The bar-mode instability |
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513 | (3) |
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516 | (3) |
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20.4 Black hole--neutron star mergers |
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519 | (3) |
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20.5 Magnetohydrodynamics |
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522 | (3) |
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20.6 The magnetorotational instability |
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525 | (3) |
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20.7 Gravitational collapse |
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528 | (3) |
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20.8 Supernova core collapse |
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531 | (8) |
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539 | (2) |
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541 | (40) |
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541 | (2) |
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543 | (8) |
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21.3 The relativistic Love number |
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551 | (5) |
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21.4 Dynamical tides: resonances |
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556 | (7) |
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21.5 Shattering the crust |
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563 | (2) |
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565 | (7) |
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572 | (6) |
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21.8 The signature of a kilonova |
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578 | (3) |
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22 Whispers from the Big Bang |
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581 | (2) |
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22.1 The standard model of cosmology |
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583 | (4) |
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22.2 The cosmological redshift |
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587 | (2) |
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22.3 Scaling the distance ladder |
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589 | (2) |
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591 | (3) |
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22.5 Geometrical optics and lensing |
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594 | (4) |
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22.6 Astrophysical backgrounds |
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598 | (4) |
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22.7 Pulsar timing arrays |
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602 | (7) |
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609 | (1) |
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609 | (2) |
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22.10 Detecting a primordial background |
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611 | (2) |
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22.11 Parametric amplification of quantum fluctuations |
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613 | (3) |
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616 | (1) |
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617 | (2) |
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619 | (1) |
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22.15 Twenty-nine decades of frequency |
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620 | (5) |
| Apologies and thanks |
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625 | (2) |
| References |
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627 | (34) |
| Index |
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661 | |