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arXiv · 1402.6381

Stationary Black Hole Metrics and Inverse Problems in Two Space Dimensions

Gregory Eskin·Michael A Hall
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Abstract

We study the wave equation for a stationary Lorentzian metric in the case of two space dimensions. Assuming that the metric has a singularity of the appropriate form, surrounded by an ergosphere which is a smooth Jordan curve, we prove the existence of a black hole with the boundary (called the event horizon) that is piece-wise smooth, generally having corners. We consider a physical model of acoustic black hole whose event horizon has corners. In the end of the paper we consider the determination of a black hole by the boundary measurements.

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Gregory Eskin, Michael A Hall. 2016-07-29. Stationary Black Hole Metrics and Inverse Problems in Two Space Dimensions. https://doi.org/10.1088/0266-5611%2F32%2F9%2F095006

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