| Introduction |
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ix | |
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Cosmic strings and broken gauge symmetries |
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1 | (34) |
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Electromagnetism as a local gauge theory |
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3 | (5) |
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8 | (7) |
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The Nielsen--Olesen vortex string |
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15 | (9) |
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Strings as relics of the Big Bang |
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24 | (3) |
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27 | (8) |
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The elements of string dynamics |
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35 | (24) |
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Describing a zero-thickness cosmic string |
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35 | (3) |
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38 | (3) |
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Gauge conditions, periodicity and causal structure |
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41 | (3) |
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Conservation laws in symmetric spacetimes |
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44 | (4) |
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48 | (1) |
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Cusps and curvature singularities |
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49 | (5) |
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54 | (5) |
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String dynamics in flat space |
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59 | (40) |
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The aligned standard gauge |
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59 | (2) |
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61 | (2) |
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Conservation laws in flat space |
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63 | (5) |
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Initial-value formulation for a string loop |
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68 | (2) |
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Periodic solutions in the spinor representation |
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70 | (3) |
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The Kibble--Turok sphere and cusps and kinks in flat space |
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73 | (7) |
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Field reconnection at a cusp |
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80 | (5) |
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Self-intersection of a string loop |
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85 | (7) |
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Secular evolution of a string loop |
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92 | (7) |
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A bestiary of exact solutions |
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99 | (45) |
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99 | (6) |
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The infinite straight string |
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99 | (1) |
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Travelling-wave solutions |
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100 | (2) |
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Strings with paired kinks |
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102 | (1) |
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103 | (2) |
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105 | (7) |
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The collapsing circular loop |
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105 | (1) |
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106 | (1) |
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The degenerate kinked cuspless loop |
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107 | (1) |
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108 | (4) |
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112 | (2) |
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114 | (16) |
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114 | (3) |
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Loops with two unmixed harmonics |
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117 | (5) |
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Loops with two mixed harmonics |
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122 | (5) |
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Loops with three or more harmonics |
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127 | (3) |
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Stationary rotating solutions |
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130 | (5) |
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135 | (9) |
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135 | (2) |
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137 | (4) |
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The figure-of-eight string |
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141 | (3) |
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String dynamics in non-flat backgrounds |
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144 | (37) |
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Strings in Robertson--Walker spacetimes |
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144 | (8) |
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Straight string solutions |
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145 | (2) |
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147 | (5) |
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Strings near a Schwarzschild black hole |
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152 | (7) |
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153 | (4) |
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Static equilibrium solutions |
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157 | (2) |
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Scattering and capture of a straight string by a Schwarzschild hole |
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159 | (8) |
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Ring solutions in the Kerr metric |
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167 | (3) |
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Static equilibrium configurations in the Kerr metric |
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170 | (7) |
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Strings in plane-fronted-wave spacetimes |
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177 | (4) |
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Cosmic strings in the weak-field approximation |
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181 | (65) |
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182 | (3) |
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Cusps in the weak-field approximation |
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185 | (4) |
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Kinks in the weak-field approximation |
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189 | (2) |
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Radiation of gravitational energy from a loop |
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191 | (5) |
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Calculations of radiated power |
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196 | (8) |
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Power from cuspless loops |
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197 | (2) |
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Power from the Vachaspati--Vilenkin loops |
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199 | (3) |
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Power from the p/q harmonic solutions |
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202 | (2) |
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Power radiated by a helical string |
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204 | (4) |
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Radiation from long strings |
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208 | (3) |
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Radiation of linear and angular momentum |
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211 | (8) |
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211 | (2) |
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213 | (6) |
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Radiative efficiencies from piecewise-linear loops |
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219 | (7) |
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The piecewise-linear approximation |
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219 | (4) |
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A minimum radiative efficiency? |
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223 | (3) |
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The field of a collapsing circular loop |
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226 | (5) |
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The back-reaction problem |
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231 | (15) |
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General features of the problem |
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231 | (3) |
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Self-acceleration of a cosmic string |
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234 | (6) |
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Back-reaction and cusp displacement |
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240 | (2) |
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242 | (4) |
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The gravitational field of an infinite straight string |
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246 | (25) |
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The metric due to an infinite straight string |
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246 | (4) |
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Properties of the straight-string metric |
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250 | (2) |
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The Geroch--Traschen critique |
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252 | (3) |
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Is the straight-string metric unstable to changes in the equation of state? |
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255 | (4) |
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A distributional description of the straight-string metric |
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259 | (4) |
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The self-force on a massive particle near a straight string |
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263 | (4) |
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The straight-string metric in 'asymptotically-flat' form |
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267 | (4) |
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Multiple straight strings and closed timelike curves |
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271 | (15) |
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Straight strings and 2 + 1 gravity |
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271 | (2) |
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Boosts and rotations of systems of straight strings |
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273 | (1) |
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274 | (4) |
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String holonomy and closed timelike curves |
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278 | (4) |
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The Letelier--Gal'tsov spacetime |
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282 | (4) |
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Other exact string metrics |
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286 | (46) |
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Strings and travelling waves |
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286 | (5) |
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Strings from axisymmetric spacetimes |
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291 | (12) |
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Strings in a Robertson--Walker universe |
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292 | (5) |
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A string through a Schwarzschild black hole |
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297 | (4) |
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Strings coupled to a cosmological constant |
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301 | (2) |
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Strings in radiating cylindrical spacetimes |
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303 | (21) |
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The cylindrical formalism |
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303 | (2) |
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305 | (2) |
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Strings in closed universes |
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307 | (3) |
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Radiating strings from axisymmetric spacetimes |
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310 | (6) |
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Einstein--Rosen soliton waves |
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316 | (5) |
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Two-mode soliton solutions |
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321 | (3) |
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324 | (8) |
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Snapping strings in flat spacetimes |
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324 | (5) |
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Other spacetimes containing snapping strings |
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329 | (3) |
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Strong-field effects of zero-thickness strings |
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332 | (27) |
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Spatial geometry outside a stationary loop |
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334 | (6) |
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Black-hole formation from a collapsing loop |
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340 | (3) |
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Properties of the near gravitational field of a cosmic string |
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343 | (3) |
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A 3 + 1 split of the metric near a cosmic string |
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346 | (13) |
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346 | (3) |
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Some sample near-field expansions |
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349 | (3) |
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Series solutions of the near-field vacuum Einstein equations |
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352 | (3) |
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Distributional stress--energy of the world sheet |
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355 | (4) |
| Bibliography |
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359 | (8) |
| Index |
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367 | |
Lisainfo e-raamatute kohta