Cumulus
发表于 2025-3-23 10:57:17
,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
抛物线
发表于 2025-3-23 15:08:30
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
CRAFT
发表于 2025-3-23 19:23:11
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conjunctiva
发表于 2025-3-24 01:21:30
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.
Eructation
发表于 2025-3-24 04:18:44
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.
Urologist
发表于 2025-3-24 09:11:35
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.
发源
发表于 2025-3-24 14:43:25
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cardiovascular
发表于 2025-3-24 15:01:03
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Pathogen
发表于 2025-3-24 22:35:11
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.
antidepressant
发表于 2025-3-24 23:23:43
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