One entropy function to rule them all

TL;DR

This paper develops a unified framework using Sen's entropy function and dimensional reduction to analyze the entropy of extremal black holes and rings across four and five dimensions, incorporating gauge fields and scalars.

Contribution

It introduces a unified approach to compute black hole and black ring entropy in different dimensions using Sen's formalism and dimensional reduction.

Findings

Unified entropy calculation framework for 4D and 5D black objects

Application to $U(1)^3$ supergravity models

Consistent results across various black hole configurations

Abstract

We study the entropy of extremal four dimensional black holes and five dimensional black holes and black rings is a unified framework using Sen's entropy function and dimensional reduction. The five dimensional black holes and black rings we consider project down to either static or stationary black holes in four dimensions. The analysis is done in the context of two derivative gravity coupled to abelian gauge fields and neutral scalar fields. We apply this formalism to various examples including $U(1)^3$ minimal supergravity.