2002/06/30 by Sergiu I. Vacaru, SERGIU I. VACARU
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #astro-ph #gr-qc #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.1142/s0218271803002731
published as Int.J.Mod.Phys. D12 (2003) 461-478 · Published variant in IJMD with small modifications in formulas and new references
openalex publication_date 2003/03/01 · arxiv created 2003/07/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the perturbations of two classes of static black ellipsoid solutions of four-dimensional vacuum Einstein equations. Such solutions are described by generic off-diagonal metrics which are generated by anholonomic transforms of diagonal metrics. The analysis is performed in the approximation of small eccentricity deformations of the Schwarzschild solution. We conclude that such anisotropic black hole objects may be stable with respect to the perturbations parametrized by the Schrodinger equations in the framework of the one-dimensional inverse scattering theory.