Stationary black hole metrics and inverse problems in two space dimensions. (18th July 2016)

• Record Type: Journal Article
• Authors: Eskin, Gregory; Hall, Michael
• Is Part Of: Inverse problems. Volume 32:Number 9(2016:Sep.)
• Publication Date: 2016-07-18
• Subjects: black hole -- acoustic metric -- ergosphere; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/32/9/095006
• Languages: English
• ISSNs: 0266-5611

Abstract

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 a boundary (called the event horizon) that is piecewise smooth, generally having corners. We consider a physical model of acoustic black hole whose event horizon has corners. Finally we consider the determination of a black hole by the boundary measurements.