Phys. Rev. D 71, 084015 (2005) [6 pages]Scalar field perturbations of the Schwarzschild black hole in the Gödel universeReceived 3 March 2005; published 15 April 2005 We investigate the scalar field perturbations of the 4+1-dimensional Schwarzschild black hole immersed in a Gödel 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 Gödel 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-Gödel space-time against scalar field perturbations. The approximate analytical formula for large multipole numbers is found. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.084015
DOI:
10.1103/PhysRevD.71.084015
PACS:
04.30.Db, 04.50.+h, 04.70.Bw, 04.70.Dy
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