$AdS_{5}$ black hole at N=2 supergravity

Details $AdS_{5}$ black hole at N=2 supergravity $AdS_{5}$ black hole at N=2 supergravity

2009-12-08

arxiv.org/abs/0912.1423v3

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 5 figures. Two sections about perturbed dilaton field background and higher derivative correction added in the versi

Scientific paper

In this paper we consider three-charge none-extremal black hole at the five dimensional N=2 supergravity. We study thermodynamics of the $AdS_{5}$ black hole with three equal charges ($q_{1}=q_{2}=q_{3}=q$). We obtain Schrodinger like equation and discuss the effective potential. Then we consider the case of the perturbed dilaton field background and find that the odd coefficients of the wave function to be appear. Also we find that the higher derivative corrections have not any effect on the first and second even coefficients of the wave function.

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