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Bücher Englische Bücher Shock Wave Interactions in General Relativity
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Shock Wave Interactions in General Relativity
Jeffrey Groah, Joel Smoller, Blake Temple (Broschiert, Englisch)
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Beschreibung
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 notes is to introduce and analyze a practical method for numerically computing shock waves in spherically symmetric spacetimes. The method is locally inertial in thesensethatthecurvatureissetequaltozeroineachlocalgridcell. Although it formally appears that the method introduces singularities at shocks, the arguments demonstrate that this is not the case. The third author would like to dedicate these notes to his father, Paul Blake Temple, who piqued the author’s interest in Einstein’s theory when he was a young boy, and whose interest and encouragement has been an inspirationthroughout his adult life. 53,49 €
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Technische Daten
Erscheinungsdatum
19.11.2010
Sprache
Englisch
EAN
9781441922465
Herausgeber
Springer US
Serien- oder Bandtitel
Springer Monographs in Mathematics
Sonderedition
Nein
Autor
Jeffrey Groah, Joel Smoller, Blake Temple
Seitenanzahl
152
Einbandart
Broschiert
Buch Untertitel
A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes
Schlagwörter
Gravity, Special relativity, equation, general relativity, mathematics, proof, relativity, theorem
Thema-Inhalt
PBW - Angewandte Mathematik
PHDV - Gravitation
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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