Introduction to mathematical relativity / José Natário.
Natário, José, author.
2021
QC173.6
Available Online

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Title Introduction to mathematical relativity / José Natário.
Author Natário, José, author.
ISBN 9783030656836 (electronic bk.)
3030656837 (electronic bk.)
9783030656843 (print)
3030656845
9783030656850 (print)
3030656853
3030656829
9783030656829
DOI https://doi.org/10.1007/978-3-030-65683-6
Published Cham, Switzerland : Springer, [2021]
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-65683-6 doi
Call Number QC173.6
Dewey Decimal Classification 530.11
Summary 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 Tecnico (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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 6, 2021).
Series Latin American mathematics series. UFSCar subseries, 2524-6755
Available in Other Form Print version: 9783030656829
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Record Appears in Online Resources > Ebooks
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Preliminaries
Exact Solutions
Causality
Singularity Theorems
Cauchy Problems
Mass in general relativity
Black Holes
Appendix: Mathematical Concepts for Physicists.

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