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＜E-Book＞
An Introduction to Mathematical Relativity / by José Natário
(Latin American Mathematics Series – UFSCar subseries. ISSN:25246763)

Edition	1st ed. 2021.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2021
Language	English
Size	VIII, 186 p. 49 illus : online resource
Authors	*Natário, José author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Mathematical physics LCSH:General relativity (Physics) LCSH:Differential equations FREE:Differential Geometry FREE:Mathematical Methods in Physics FREE:General Relativity FREE:Differential Equations
Notes	- Preface -- Preliminaries -- Exact Solutions -- Causality -- Singularity Theorems -- Cauchy Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists -- Bibliography -- Index 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 theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics. Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book HTTP:URL=https://doi.org/10.1007/978-3-030-65683-6

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