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Titlebook: An Introduction to Mathematical Relativity; José Natário Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li

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期刊全称An Introduction to Mathematical Relativity
影响因子2023José Natário
视频video
发行地址Offers a view on the advanced mathematical aspects of general relativity.Aimed to graduate students in Mathematics and Physics with special interest on the field.Concentrates on the simplest versions
学科分类Latin American Mathematics Series
图书封面Titlebook: An Introduction to Mathematical Relativity;  José Natário Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li
影响因子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..
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Textbook 2021tial 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..
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Implikationen und Schlussbetrachtungen,h timelike and null geodesics cannot be continued. The singularity theorems of Hawking and Penrose, proved in this chapter, show that this is a generic phenomenon: any sufficiently small perturbation of these singular solutions will still be singular.
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