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

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Cesar A. Guerrero,William H. Belletric 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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https://doi.org/10.1007/978-1-4612-2140-1of symmetric hyperbolicity of first-order systems and that of regular hyperbolicity of second-order systems. Numerous examples are provided, mainly taken from nonrelativistic and relativistic continuum mechanics.

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Fernando Molina,Alvaro A. Figueroam general relativity of Beig and Ó Murchadha. It is shown that the algebra of asymptotic Killing symmetries, defined with respect to a given foliation of the spacetime, depends on the fall-off. rate of the metric. It is only the Lorentz Lie algebra for slow fall-off, but it is the Poincaré algebra f

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Christoph Bauer,Jens-Eric von Düsterlhotations 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

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