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Titlebook: Shock Wave Interactions in General Relativity; A Locally Inertial G Jeffrey Groah,Blake Temple,Joel Smoller Book 2007 Springer-Verlag New Y

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发表于 2025-3-21 19:33:10 | 显示全部楼层 |阅读模式
书目名称Shock Wave Interactions in General Relativity
副标题A Locally Inertial G
编辑Jeffrey Groah,Blake Temple,Joel Smoller
视频video
概述Author is well regarded expert in this area.Important mathematical problem
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Shock Wave Interactions in General Relativity; A Locally Inertial G Jeffrey Groah,Blake Temple,Joel Smoller Book 2007 Springer-Verlag New Y
描述General relativity is the modern theory of the gravitational ?eld. It is a deep subject that couples ?uid dynamics to the geometry of spacetime through the Einstein equations. The subject has seen a resurgence of interest recently, partlybecauseofthespectacularsatellitedatathatcontinuestoshednewlight on the nature of the universe. . . Einstein’s theory of gravity is still the basic theorywehavetodescribetheexpandinguniverseofgalaxies. ButtheEinstein equations are of great physical, mathematical and intellectual interest in their own right. They are the granddaddy of all modern ?eld equations, being the ?rst to describe a ?eld by curvature, an idea that has impacted all of physics, and that revolutionized the modern theory of elementary particles. In these noteswedescribeamathematicaltheoryofshockwavepropagationingeneral relativity. Shock waves are strong fronts that propagate in ?uids, and across which there is a rapid change in density, pressure and velocity, and they can bedescribedmathematicallybydiscontinuitiesacrosswhichmass,momentum and energy are conserved. In general relativity, shock waves carry with them a discontinuity in spacetime curvature. The main object of these not
出版日期Book 2007
关键词Gravity; Special relativity; equation; general relativity; mathematics; proof; relativity; theorem
版次1
doihttps://doi.org/10.1007/978-0-387-44602-8
isbn_softcover978-1-4419-2246-5
isbn_ebook978-0-387-44602-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag New York 2007
The information of publication is updating

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发表于 2025-3-21 20:53:21 | 显示全部楼层
1439-7382 It is a deep subject that couples ?uid dynamics to the geometry of spacetime through the Einstein equations. The subject has seen a resurgence of interest recently, partlybecauseofthespectacularsatellitedatathatcontinuestoshednewlight on the nature of the universe. . . Einstein’s theory of gravity
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Introduction, Relativity. The first two chapters provide background for the introduction of a locally inertial Glimm Scheme in Chapter 3, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. In Chapter 4 a careful analysis of thi
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Existence and Consistency for the Initial Value Problem,d total mass, exist up until some positive time T > 0, and we prove that the total mass .∞ = lim. is constant throughout the time interval [0, .). A local existence theorem is all that we can expect for system (1.3.2)–(1.3.5) in general because black holes are singularities in standard Schwarzschild
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Existence and Consistency for the Initial Value Problem,olves second derivatives of . and ., it follows that these solutions satisfy (1.3.2)–(1.3.5) only in the weak sense of the theory of distributions. Thus our theorem establishes the consistency of the initial value problem for the Einstein equations at the weaker level of shock waves.
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