Macroscopic and Microscopic Entropy of Near-Extremal Spinning Black Holes

TL;DR

This paper constructs a family of five-dimensional black hole solutions with multiple parameters and compares their entropy from geometric and string theory perspectives, confirming agreement near extremality.

Contribution

It introduces a new seven-parameter family of black hole solutions and compares their entropy calculations from macroscopic and microscopic viewpoints.

Findings

Entropy expressions agree at leading order near extremality.

Constructed explicit black hole solutions with multiple charges and angular momenta.

Validated string theory microstate counting against geometric entropy calculations.

Abstract

A seven parameter family of five-dimensional black hole solutions depending on mass, two angular momenta, three charges and the asymptotic value of a scalar field is constructed. The entropy is computed as a function of these parameters both from the Bekenstein-Hawking formula and from the degeneracies of the corresponding D-brane states in string theory. The expressions agree at and to leading order away from extremality.