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An Introduction to Mathematical Relativity
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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
Links to Related Works
Subject References:
Differential Equations
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Differential Geometry
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General Relativity
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General relativity (Physics)
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Geometry, Differential
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Mathematical Methods in Physics
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Mathematical Physics
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Authors:
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Natário, José
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Corporate Authors:
SpringerLink (Online service)
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Series:
Latin American Mathematics Series – UFSCar subseries
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Classification:
516.36
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