Scalar field perturbations of the Schwarzschild black hole in the Gödel universe
R. A. KonoplyaInstituto de Fisica, Universidade de São Paulo, CP 66318, CEP 05315, São Paulo SP, BrazilÉlcio AbdallaInstituto de Fisica, Universidade de São Paulo, CP 66318, CEP 05315, São Paulo SP, Brazil
2005en
ABI
Abstract
We investigate the scalar field perturbations of the $4+1$-dimensional Schwarzschild black hole immersed in a G\"odel 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\"odel 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\"odel space-time against scalar field perturbations. The approximate analytical formula for large multipole numbers is found.
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