This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. This book provides General Relativity problems to be tackled both analytically and symbolica...Loe edasi...
This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. In the first case, the reader is guided in setting up the appropriate solutions. In the second case, the rea...Loe edasi...
Considering how math can drive and sometimes even anticipate discoveries in physics, one of the world’s preeminent mathematicians examines such phenomena as black holes, gravitational waves and the Big Bang, offering an eye-opening look into the powe...Loe edasi...
This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported o...Loe edasi...
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einsteins theory of gravity. This title, first published in 2016, has been reissued as an Open Acc...Loe edasi...
(Ilmumisaeg: 09-Feb-2023, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009291347)
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einsteins theory of gravity. This title, first published in 2016, has been reissued as an Open Acc...Loe edasi...
This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported o...Loe edasi...
(Ilmumisaeg: 30-Nov-2022, Hardback, Kirjastus: International Press of Boston Inc, ISBN-13: 9781571464132)
The second of the two Surveys in Differential Geometry volumes in honour of Professor Shing-Tung Yau, consisting of articles by some of the speakers at special conferences and several additional contributions....Loe edasi...
This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive m...Loe edasi...
This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theor...Loe edasi...
Introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps m...Loe edasi...
Sari: Cambridge Monographs on Mathematical Physics
(Ilmumisaeg: 26-Nov-2020, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108481649)
This monograph carefully documents the different formulations of Einsteins General Theory of Relativity, and gives valuable insight into the very nature of gravity. Cartans geometry of fibre bundles and differential forms are placed at the forefro...Loe edasi...
(Ilmumisaeg: 01-Sep-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470450816)
The mathematics of general relativity is a large and active field, says Lee, and he wants to introduce students to just one part of it: problems in general relativity that are essentially geometric in character, that is, that can be addressed usi...Loe edasi...
(Ilmumisaeg: 16-Jul-2019, Hardback, Kirjastus: Nova Science Publishers Inc, ISBN-13: 9781536157628)
This work is divided into three parts. In the first part, the hyperbolic equations theory is analysed, the second part concerns the Cauchy problem in General Relativity, whereas the third part gives a modern perspective of General Relativity. In th...Loe edasi...
Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativ...Loe edasi...
The contribution that Italian mathematicians Tullio Levi-Civita (1873-1941) and Gregorio Ricci Curbastro (1853-1925) made to Einsteins theory of general relativity deserves to be better known, says Goodstein. She discusses the Riccis of Lugo, th...Loe edasi...
(Ilmumisaeg: 26-Jun-2018, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319926711)
This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einstein’s Equation of general relativity,...Loe edasi...
This volume compiles notes from courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It provides an up-to-date panorama of modern techniques in the asymptotic analysis of c...Loe edasi...
(Ilmumisaeg: 08-Aug-2017, Paperback / softback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813227699)
It is important for every physicist today to have a working knowledge of Einsteins theory of general relativity. Introduction to General Relativity published in 2007 was aimed at first-year graduate students, or advanced undergraduates, in physics....Loe edasi...
