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arXiv · 1805.08621

Entropy formula in Einstein-Maxwell-Dilaton theory and its validity for black strings

M. R. Setare·H. Adami
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Abstract

We consider near horizon fall-off conditions of stationary black holes in Einstein-Maxwell-Dilaton theory and find conserved charge conjugate to symmetry generator that preserves near horizon fall-off conditions. Subsequently, we find supertranslation, superrotation and multiple-charge modes. We apply the obtained results on a typical static dilaton black hole and on a charged rotating black string, as examples. In this case, supertranslation double-zero-mode charge $\mathcal{T}_{(0,0)}$ is not equal to black hole entropy times Hawking temperature. This may be seen as a problem but it is not, because, in Einstein-Maxwell-Dilaton theory, we have a U(1) gauge freedom and we use an appropriate gauge fixing to fix that problem. We show that new entropy formula $4 π\hat{J}^{+}_{0} \hat{J}^{-}_{0}$, proposed in \cite{17}, is valid for black strings as well as black holes.

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M. R. Setare, H. Adami. 2018-05-20. Entropy formula in Einstein-Maxwell-Dilaton theory and its validity for black strings. https://doi.org/10.1103/physrevd.98.084015

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