Evolution of the Einstein equations to future null infinity

Rinne, Oliver; Moncrief, Vincent

doi:10.1007/978-3-319-06761-2_25

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Evolution of the Einstein equations to future null infinity

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Rinne, Oliver
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rinne_Moncrief.pdf
(全文テキスト（全般）), 308KB

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Rinne_Oliver.pdf
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引用

Rinne, O., & Moncrief, V. (2014). Evolution of the Einstein equations to future null infinity. In Relativity and Gravitation. Springer Proceedings in Physics (pp. 199-206). Springer.

引用: https://hdl.handle.net/11858/00-001M-0000-000E-7C68-C

要旨

We describe recent progress with a formulation of the Einstein equations on constant mean curvature surfaces extending to future null infinity. Long-time stable numerical evolutions of an axisymmetric gravitationally perturbed Schwarzschild black hole have been obtained. Here we show how matter can be included in our formulation. We study late-time tails for the spherically symmetric Einstein–Yang–Mills equations both for initial data that disperse and that collapse to a black hole.