### Area Spectrum of Kerr and extremal Kerr Black Holes from Quasinormal ModesArea Spectrum of Kerr and extremal Kerr Black Holes from Quasinormal Modes

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 Author Setare, Mohammad R. ♦ Vagenas, Elias C. Source arXiv.org Content type Text File Format PDF Date of Submission 2004-01-25 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Astronomy & allied sciences ♦ Physics Subject Keyword High Energy Physics - Theory ♦ Astrophysics ♦ General Relativity and Quantum Cosmology ♦ Quantum Physics ♦ physics:astro-ph ♦ physics:gr-qc ♦ physics:hep-th ♦ physics:quant-ph Abstract Motivated by the recent interest in quantization of black hole area spectrum, we consider the area spectrum of Kerr and extremal Kerr black holes. Based on the proposal by Bekenstein and others that the black hole area spectrum is discrete and equally spaced, we implement Kunstatter's method to derive the area spectrum for the Kerr and extremal Kerr black holes. The real part of the quasinormal frequencies of Kerr black hole used for this computation is of the form $m\Omega$ where $\Omega$ is the angular velocity of the black hole horizon. The resulting spectrum is discrete but not as expected uniformly spaced. Thus, we infer that the function describing the real part of quasinormal frequencies of Kerr black hole is not the correct one. This conclusion is in agreement with the numerical results for the highly damped quasinormal modes of Kerr black hole recently presented by Berti, Cardoso and Yoshida. On the contrary, extremal Kerr black hole is shown to have a discrete area spectrum which in addition is evenly spaced. The area spacing derived in our analysis for the extremal Kerr black hole area spectrum is not proportional to $\ln 3$. Therefore, it does not give support to Hod's statement that the area spectrum $A_{n}=(4l^{2}_{p}ln 3)n$ should be valid for a generic Kerr-Newman black hole. Description Reference: Mod.Phys.Lett. A20 (2005) 1923-1932 Educational Use Research Learning Resource Type Article Page Count 12