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arXiv · 1510.08024

Stationary axisymmetric black holes with matter

Otis Chodosh·Yakov Shlapentokh-Rothman
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Abstract

We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein equations reduce to an Einstein-harmonic map type system and analyze the compatibility of the resulting equations. This framework will be fundamental to our forthcoming construction of metric-stationary axisymmetric bifurcations of Kerr solving the Einstein--Klein--Gordon system, and as such, we include specializations of all of our formulas to the case of a time-periodic massive scalar field.

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Otis Chodosh, Yakov Shlapentokh-Rothman. 2015-10-27. Stationary axisymmetric black holes with matter. https://arxiv.org/abs/1510.08024

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