Introduction to mathematical relativity / José Natário.

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Introduction to mathematical relativity / José Natário.

9783030656836 (electronic bk.)
3030656837 (electronic bk.)
9783030656843 (print)
3030656845
9783030656850 (print)
3030656853
3030656829
9783030656829

Cham, Switzerland : Springer, [2021]

English

1 online resource.

10.1007/978-3-030-65683-6 doi

QC173.6

530.11

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed April 6, 2021).

Latin American mathematics series. UFSCar subseries.

Print version: 9783030656829

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