Entropy function and attractors for AdS black holes

TL;DR

This paper uses Sen's entropy formalism to analyze the near horizon geometry and entropy of various asymptotically AdS black holes in gauged supergravity, covering static, rotating, BPS, and non-BPS cases.

Contribution

It applies the entropy function approach to a broad class of AdS black holes in different supergravity theories, providing explicit entropy calculations in terms of charges and angular momentum.

Findings

Entropy and near horizon geometry derived by extremizing the entropy function.

Results expressed in terms of gauge coupling, electric charges, and angular momentum.

Applicable to static, rotating, BPS, and non-BPS black holes in Einstein and Gauss-Bonnet gravity.

Abstract

We apply Sen's entropy formalism to the study of the near horizon geometry and the entropy of asymptotically AdS black holes in gauged supergravities. In particular, we consider non-supersymmetric electrically charged black holes with AdS_2 xS^{d-2} horizons in U(1)^4 and U(1)^3 gauged supergravities in d=4 and d=5 dimensions, respectively. We study several cases including static/rotating, BPS and non-BPS black holes in Einstein as well as in Gauss-Bonnet gravity. In all examples, the near horizon geometry and black hole entropy are derived by extremizing the entropy function and are given entirely in terms of the gauge coupling, the electric charges and the angular momentum of the black hole.