An Introduction to Mathematical Relativity by Natário, José;

Series: Latin American Mathematics Series;

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Product details:

Edition number 1st ed. 2021
Publisher Springer International Publishing
Date of Publication 29 March 2022
Number of Volumes 1 pieces, Book

ISBN 9783030656850
Binding Paperback
See also 9783030656829
No. of pages186 pages
Size 235x155 mm
Weight 308 g
Language English
Illustrations VIII, 186 p. 49 illus. Illustrations, black & white

Long description:

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 inRiemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.