Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes

Abstract

We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS${}_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory. The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence. In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges. We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures. From the results of the near-extremal AdS${}_4$ black hole entropy, we provide a microscopic foundation for Hawking radiation.

arXiv comment25 pages, 2 figures; v2: Sec. 2.1 and Sec. 2.3 updated; v3: published version in JHEP, minor changes in Sec. 2 and 3

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