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An Introduction to Mathematical Relativity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introduction to Mathematical Relativity/ by José Natário.
作者:	Natário, José.
面頁冊數:	VIII, 186 p. 49 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-65683-6
ISBN:	9783030656836

An Introduction to Mathematical Relativity
Natário, José.

An Introduction to Mathematical Relativity[electronic resource] /by José Natário. - 1st ed. 2021. - VIII, 186 p. 49 illus.online resource. - Latin American Mathematics Series – UFSCar subseries,2524-6763. - Latin American Mathematics Series – UFSCar subseries,.

- Preface -- Preliminaries -- Exact Solutions -- Causality -- Singularity Theorems -- Cauchy Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists -- Bibliography -- Index.

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.

ISBN: 9783030656836

Standard No.: 10.1007/978-3-030-65683-6doiSubjects--Topical Terms:

669490
Analysis.

LC Class. No.: QA641-670

Dewey Class. No.: 516.36

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