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arXiv · 1209.1235

Thermodynamics of string black hole with hyperscaling violation

J. Sadeghi·B. Pourhassan·A. Asadi
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Abstract

In this paper, we start with black brane and construct specific space-time which violates hyperscaling. In order to obtain the string solution we apply Null-Melvin-Twist and $KK$-reduction. By using the difference action method we study thermodynamics of system to obtain Hawking-Page phase transition. In order to have hyperscaling violation we need to consider $θ=\frac{d}{2}.$ In that case the free energy $F$ is always negative and our solution is thermal radiation without a black hole. Therefore we find that there is not any Hawking-Page transition. Also, we discuss the stability of system and all thermodynamical quantities.

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J. Sadeghi, B. Pourhassan, A. Asadi. 2013-12-03. Thermodynamics of string black hole with hyperscaling violation. https://doi.org/10.1140/epjc%2Fs10052-013-2680-7

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