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arXiv · 0806.3794

Entropy of black holes in topologically massive gravity

Yun Soo Myung·Hyung Won Lee·Yong-Wan Kim
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Abstract

We study the issue of black hole entropy in the topologically massive gravity. Assuming that the presence of gravitational Chern-Simons term with the coupling $1/μ$ does modify the horizon radius $\tilde{r}_+$, we propose $\tilde{S}_{BH}=π\tilde{r}_+/2G_3$ as the Bekenstein-Hawking entropy. This entropy of CS-BTZ black hole satisfies the first-law of thermodynamics and the area-law but it is slightly different from the shifted-entropy $S_c=πr_+/2G_3+ (1/μl)πr_-/2G_3$ based on the BTZ black hole with outer $r_+$ and inner horizon $r_-$. In the case of $r_-=0$, $\tilde{S}_{BH}$ represents the entropy of non-rotating BTZ black hole with the Chern-Simons term (NBTZ-CS), while $S_c$ reduces to the entropy of NBTZ black hole. It shows that $\tilde{S}_{BH}$ may be a candidate for the entropy of the CS-BTZ black hole.

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Yun Soo Myung, Hyung Won Lee, Yong-Wan Kim. 2008-07-24. Entropy of black holes in topologically massive gravity. https://arxiv.org/abs/0806.3794

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