Near Horizon Analysis of Extremal AdS5 Black Holes

TL;DR

This paper analyzes the near horizon geometry of extremal AdS5 black holes using entropy function formalism, revealing universal features and confirming predictions from dual CFT fluid dynamics.

Contribution

It applies Sen's entropy function formalism to extremal AdS5 black holes and uncovers universal near horizon behavior in the large black hole limit.

Findings

Near horizon geometry shows universal dependence on rotation.

Large black hole solutions match dual CFT fluid predictions.

Provides insights into extremal black hole thermodynamics.

Abstract

We study the near horizon geometry of extremal black holes in five dimensional gauged supergravity using Sen's entropy function formalism. Special attention is paid to the large black hole limit where the near horizon solution exhibits a universal dependence on the rotation. The physical properties of the large black hole solution are shown to agree with predictions from fluid mechanical description of the dual conformal field theory.