Shohreh Abdolrahimi, Celine Cattoen, Don N. Page, Shima Yaghoobpour-Tari
We have constructed an AdS_5-CFT_4 solution to the Einstein equation with a negative cosmological constant Lambda that is asymptotically conformal to the Schwarzschild metric, by a numerical spectral method independent of the Ricci-DeTurck-flow method used by Figueras, Lucietti, and Wiseman. As Figueras and Wiseman did with their solution, we have perturbed ours to get large static black hole solutions to the Randall-Sundrum II (RSII) braneworld model. Our solution agrees closely with theirs and also allows us to deduce the new results that to first order in 1/(-\Lambda M^2), the Hawking temperature and entropy of an RSII static black hole have the same values as the Schwarzschild metric with the same mass, but the horizon area is increased by about 4.7/(-\Lambda).
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http://arxiv.org/abs/1206.0708
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