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

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書目名稱An Introduction to Mathematical Relativity被引頻次學科排名




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書目名稱An Introduction to Mathematical Relativity讀者反饋學科排名





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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..
作者: 熱烈的歡迎    時間: 2025-3-23 07:15
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.
作者: Cumulus    時間: 2025-3-23 10:57
,Einführung in die Untersuchung,field equations, following Wald (General relativity, University of Chicago Press, 1984). We start by studying the Klein–Gordon equation, as a prototypical wave equation, and the Maxwell equations, where the issues of constraints on the initial data and gauge freedom also arise. We then sketch the pr
作者: 拋物線    時間: 2025-3-23 15:08
Befunde der empirischen Untersuchung,ress, 1984), we start by defining the Komar mass for stationary spacetimes. We then discuss field theory and introduce the Einstein–Hilbert action as a means of motivating the definition of the ADM mass. Finally, we prove the (Riemannian) positive mass theorem and the (Riemannian) Penrose inequality
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Singularity Theorems,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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Contributions to Management ScienceIn this initial chapter we give a very short introduction to special and general relativity for mathematicians. In particular, we relate the index-free differential geometry notation used in mathematics to the index notation used in physics. As an exercise in index gymnastics, we derive the contracted Bianchi identities.
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https://doi.org/10.1007/978-3-8349-8859-1In this chapter we present a number of exact solutions of the Einstein field equations, construct their Penrose diagrams, and analyze their matching across a timelike hypersurface. These solutions will be used as examples or counter-examples when discussing the theorems in the subsequent chapters.
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Exact Solutions,In this chapter we present a number of exact solutions of the Einstein field equations, construct their Penrose diagrams, and analyze their matching across a timelike hypersurface. These solutions will be used as examples or counter-examples when discussing the theorems in the subsequent chapters.
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José NatárioOffers 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
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https://doi.org/10.1007/978-3-030-65683-6Penrose diagrams; causality theory; singularity theorems; Cauchy problem; Einstein equations; positive ma
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978-3-030-65685-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Mass in General Relativity,ress, 1984), we start by defining the Komar mass for stationary spacetimes. We then discuss field theory and introduce the Einstein–Hilbert action as a means of motivating the definition of the ADM mass. Finally, we prove the (Riemannian) positive mass theorem and the (Riemannian) Penrose inequality
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2524-6755 d 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..978-3-030-65685-0978-3-030-65683-6Series ISSN 2524-6755 Series E-ISSN 2524-6763
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