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Conference Paper

Evolution of the Einstein equations to future null infinity

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons80688

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

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Fulltext (public)

Rinne_Moncrief.pdf
(Any fulltext), 308KB

Supplementary Material (public)

Rinne_Oliver.pdf
(Supplementary material), 299KB

Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-7C68-C
Abstract
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.