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Titlebook: Analytical and Numerical Approaches to Mathematical Relativity; J?rg Frauendiener,Domenico J.W. Giulini,Volker Per Book 2006 Springer-Verl

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期刊全稱Analytical and Numerical Approaches to Mathematical Relativity
影響因子2023J?rg Frauendiener,Domenico J.W. Giulini,Volker Per
視頻videohttp://file.papertrans.cn/157/156693/156693.mp4
學(xué)科分類Lecture Notes in Physics
圖書封面Titlebook: Analytical and Numerical Approaches to Mathematical Relativity;  J?rg Frauendiener,Domenico J.W. Giulini,Volker Per Book 2006 Springer-Verl
影響因子The general theory of relativity, as formulated by Albert Einstein in 1915, provided an astoundingly original perspective on the physical nature of gr- itation, showing that it could be understood as a feature of a curvature in the four-dimensional continuum of space-time. Now, some 90 years later, this extraordinary theory stands in superb agreement with observation, prov- ing a profound accord between the theory and the actual physical behavior of astronomical bodies, which sometimes attains a phenomenal precision (in one case to about one part in one hundred million million, where several d- ferent non-Newtonian e?ects, including the emission of gravitational waves, are convincingly con?rmed). Einstein’s tentative introduction, in 1917, of an additional term in his equations, speci?ed by a “cosmological constant”, - pearsnowtobeobservationallydemanded,andwiththistermincluded,there is no discrepancy known between Einstein’s theory and classical dynamical behavior, from meteors to matter distributions at the largest cosmological scales. One of Einstein’s famous theoretical predictions that light is bent in a gravitational ?eld (which had been only roughly con?rmed by Eddington’s s
Pindex Book 2006
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Cesar A. Guerrero,William H. Belle of horizons), geodesic completeness, geodesic connectedness and existence of conjugate points. Appropriate mathematical tools for each problem are emphasized and the necessity to improve several Riemannian (positive de.nite) results is claimed.
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Christoph Bauer,Jens-Eric von Düsterlhohosen to demonstrate how accurate numerical solutions can answer open questions and even reveal unexpected phenomena. The latter illustrates some of the difficulties encountered in three-dimensional black hole simulations, and presents some possible remedies.
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On the Geometry of pp-Wave Type Spacetimese of horizons), geodesic completeness, geodesic connectedness and existence of conjugate points. Appropriate mathematical tools for each problem are emphasized and the necessity to improve several Riemannian (positive de.nite) results is claimed.
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Taking Time to Truly Listen to Our Patients,constructing a space-time from a family of ..s in .; this process suggests a means of attaching end-points to null geodesics of ., and thereby constructing a causal boundary. We close by summarizing some open questions in this general area.
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The Poincaré Structure and the Centre-of-Mass of Asymptotically Flat Spacetimesmass deviates from that of Beig and ó Murchadha. The new centre-of-mass is conserved, and, together with the spatial angular momentum, form an anti-symmetric Lorentz tensor which transforms just in the correct way under asymptotic Poincaré transformations of the asymptotically Cartesian coordinate system.
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