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

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Analytical and Numerical Approaches to Mathematical Relativity

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Jörg Frauendiener,Domenico J.W. Giulini,Volker Per

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Book 2006no 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

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On the Geometry of pp-Wave Type Spacetimesetric on . and . : .×ℝ → ℝ a function), which generalize classical plane waves, are revisited. Our study covers causality (causal ladder, non-existence of horizons), geodesic completeness, geodesic connectedness and existence of conjugate points. Appropriate mathematical tools for each problem are e

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Recent Analytical and Numerical Techniques Applied to the Einstein Equationstations of these equations. We illustrate this in two examples, the numerical evolution of “bubble” and single black hole space-times. The former is chosen to demonstrate how accurate numerical solutions can answer open questions and even reveal unexpected phenomena. The latter illustrates some of t