Scalar field perturbations of the Schwarzschild black hole in the Gödel Universe

Details Scalar field perturbations of the Schwarzschild black hole in the Gödel Universe Scalar field perturbations of the Schwarzschild black hole in the Gödel Universe

2005-03-03

arxiv.org/abs/hep-th/0503029v2

Phys.Rev. D71 (2005) 084015

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 4 figures, 1 table, misprints corrected, to be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.71.084015

We investigate the scalar field perturbations of the 4+1-dimensional Schwarzschild black hole immersed in a G\"{o}del Universe, described by the Gimon-Hashimoto solution.This may model the influence of the possible rotation of the Universe upon the radiative processes near a black hole. In the regime when the scale parameter $j$ of the G\"{o}del background is small, the oscillation frequency is linearly decreasing with $j$, while the damping time is increasing. The quasinormal modes are damping, implying stability of the Schwarzschild-G\"{o}del space-time against scalar field perturbations. The approximate analytical formula for large multipole numbers is found.

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