Large Randall-Sundrum II Black Holes

TL;DR

This paper introduces a new numerical spectral method to construct large static black hole solutions in the Randall-Sundrum II braneworld model, revealing that their thermodynamic properties closely match Schwarzschild black holes with specific modifications.

Contribution

The authors develop a novel spectral method for solving Einstein's equations in asymptotically AdS spacetimes, providing new insights into large RSII black holes beyond previous Ricci-DeTurck-flow approaches.

Findings

Black hole solutions match previous results closely.

Hawking temperature and entropy are similar to Schwarzschild black holes.

Horizon area increases by about 4.7/(-Lambda).

Abstract

Using a novel numerical spectral method, 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. This method is independent of the Ricci-DeTurck-flow method used by Figueras, Lucietti, and Wiseman. We have perturbed the solution to get large static black hole solutions to the Randall-Sundrum II (RSII) braneworld model. Our solution agrees closely with that of Figueras et al. 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).