arXiv:1105.2015 Abstract | arXiv Analytics

arXiv:1105.2015 [math.AP]Abstract References Reviews Resources

Artificial black holes

Published 2011-05-10Version 1

We study black holes for the linear hyperbolic equations describing the wave propagation in the moving medium. Such black holes are called artificial since the Lorentz metric associated with the hyperbolic equation does not necessary satisfies the Einstein equations. Artificial black holes also arise when we consider perturbations of the Einstein equations. In this paper we review author's results of [E2] and [E3] on the existence and the stability of black holes for the stationary wave equations in two space dimensions, and in the axisymmetric case.

Comments: Journal-ref: Contemporary Mathematics, Volume 535, 43-53 (2011)

Categories: math.AP, math-ph, math.MP

Keywords: artificial black holes, einstein equations, study black holes, stationary wave equations, review authors results

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