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Quasi-normal Modes of AdS 5 Black Hole at \(\mathcal{N}=2\) Supergravity

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Abstract

In this paper we consider the AdS 5 black hole at the \(\mathcal{N}=2\) supergravity background. By using the AdS/CFT correspondence we discuss about the quasi-normal modes of the scalar field in the black hole, which is dual of the scalar glueballs spectrum on the boundary. We obtain phase transition conditions from stable to unstable theory, which interpreted as confinement and deconfinement states in the QCD. We obtain the specific heat in terms of the temperature and charge of black hole, we find the temperature where the black hole is stable. Also we rewrite the equation of motion in the Schrödinger form and discuss the effective potential.

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Authors and Affiliations

  1. Sciences Faculty, Department of Physics, Mazandaran University, P.O. Box 47416-95447, Babolsar, Iran

    J. Sadeghi & B. Pourhassan

  2. Theoretical High-energy Physics and Cosmology group, Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok, 10330, Thailand

    A. Chatrabhuti

Authors
  1. J. Sadeghi
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  2. A. Chatrabhuti
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  3. B. Pourhassan
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Correspondence to B. Pourhassan.

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Sadeghi, J., Chatrabhuti, A. & Pourhassan, B. Quasi-normal Modes of AdS 5 Black Hole at \(\mathcal{N}=2\) Supergravity. Int J Theor Phys 50, 129–139 (2011). https://doi.org/10.1007/s10773-010-0501-4

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