2011/05/10 by Gregory Eskin, Eskin, Gregory · 6 citations
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect #Relativity and Gravitational Theory #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.1105.2015
Journal-ref: Contemporary Mathematics, Volume 535, 43-53 (2011)
arxiv created 2011/05/10 · openalex publication_date 2011/05/10 · arxiv updated 2011/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.