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arXiv · 1603.07742

Area Functional Relation for 5D-Gauss-Bonnet-AdS Black Hole

Parthapratim Pradhan
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Abstract

We present \emph{area (or entropy) functional relation} for multi-horizons five dimensional (5D) Einstein-Maxwell-Gauss-Bonnet-AdS Black Hole. It has been observed by exact and explicit calculation that some complicated function of two or three horizons area is \emph{mass-independent} whereas the entropy product relation is \emph{not} mass-independent. We also study the local thermodynamic stability of this black hole. The phase transition occurs at certain condition. \emph{Smarr mass formula} and \emph{first law} of thermodynamics have been derived. This \emph{mass-independent} relation suggests they could turn out to be an \emph{universal} quantity and further helps us to understanding the nature of black hole entropy (both interior and exterior) at the microscopic level. In the \emph{Appendix}, we have derived the thermodynamic products for 5D Einstein-Maxwell-Gauss-Bonnet black hole with \emph{vanishing} cosmological constant.

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Parthapratim Pradhan. 2016-07-21. Area Functional Relation for 5D-Gauss-Bonnet-AdS Black Hole. https://doi.org/10.1007/s10714-016-2109-3

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