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.
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Acknowledgments
O.R. gratefully acknowledges support from the German Research Foundation through a Heisenberg Fellowship and research grant RI 2246/2. V.M. was supported by NSF grant PHY-0963869 to Yale University.
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Rinne, O., Moncrief, V. (2014). Evolution of the Einstein Equations to Future Null Infinity. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_25
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DOI: https://doi.org/10.1007/978-3-319-06761-2_25
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