Jose Natario
An Introduction to Mathematical Relativity
An Introduction to Mathematical Relativity
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This textbook provides a comprehensive introduction to advanced mathematical aspects of general relativity, covering key topics such as Penrose diagrams, causality theory, singularity theorems, and black hole thermodynamics. It is suitable for graduate students in mathematics or physics with a background in differential geometry and general relativity.
Format: Paperback / softback
Length: 186 pages
Publication date: 29 March 2022
Publisher: Springer Nature Switzerland AG
This comprehensive textbook delves into the intricate mathematical realms of general relativity, providing a thorough introduction to advanced concepts. It encompasses a range of topics, including Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. Originally developed as lecture notes for a one-semester course in Mathematical Relativity, this text has been successfully taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to both Masters and Doctorate students in Mathematics and Physics. Primarily self-contained and mathematically rigorous, this book appeals to graduate students seeking specialization in general relativity, geometry, or partial differential equations. A solid foundation in differential geometry and fundamental principles of relativity is assumed. Readers with a familiarity in special relativity and having completed a course in either Riemannian geometry (for Mathematics students) or general relativity (for Physics students) will find great value in this book.
Weight: 300g
Dimension: 155 x 235 x 14 (mm)
ISBN-13: 9783030656850
Edition number: 1st ed. 2021
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