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An Introduction to Mathematical Relativity

An Introduction to Mathematical Relativity
Catalogue Information
Field name Details
Dewey Class 516.36
Title An Introduction to Mathematical Relativity ([EBook] /) / by José Natário.
Author Natário, José
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2021.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details VIII, 186 p. 49 illus. : online resource.
Series Latin American Mathematics Series – UFSCar subseries 2524-6763
ISBN 9783030656836
Summary Note 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.:
Contents note - Preface -- Preliminaries -- Exact Solutions -- Causality -- Singularity Theorems -- Cauchy Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists -- Bibliography -- Index.
Mode of acces to digital resource Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-65683-6
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