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High Energy Physics - Theory

arXiv:1805.08621 (hep-th)
[Submitted on 20 May 2018]

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

Authors: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 $4 \pi \hat{J}^{+}_{0} \hat{J}^{-}_{0}$, proposed in \cite{17}, is valid for black strings as well as black holes.
Comments: 15 pages. arXiv admin note: substantial text overlap with arXiv:1802.04665
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.08621 [hep-th]
  (or arXiv:1805.08621v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.08621
Journal reference: Phys. Rev. D 98, 084015 (2018)
Related DOI: https://doi.org/10.1103/PhysRevD.98.084015

Submission history

From: Mohammad Reza Setare [view email]
[v1] Sun, 20 May 2018 06:57:12 UTC (15 KB)
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