General Nonextremal Rotating Charged AdS Black Holes in Five-dimensional $U(1)^3$ Gauged Supergravity: A Simple Construction Method

TL;DR

This paper presents a simple, universal method to construct the most general nonextremal rotating charged black hole solutions in five-dimensional U(1)^3 gauged supergravity, useful for testing AdS/CFT correspondence.

Contribution

It introduces a straightforward algorithm based on a generalized metric ansatz to derive comprehensive black hole solutions with multiple charges and rotations in five-dimensional supergravity.

Findings

Constructed the most general nonextremal rotating charged black holes in 5D U(1)^3 gauged supergravity.

The metric ansatz is highly universal, applicable to various supergravity and dilatonic gravity theories.

Facilitates testing of AdS$_5$/CFT$_4$ correspondence in M-theory.

Abstract

With the help of a generalized form of the metric ansatz found for the single-charge case in a previous work [S.Q. Wu, Phys. Rev. D 83, 121502(R) (2011)], I adopt a simple algorithm to construct the most general nonextremal rotating charged black hole solutions in five-dimensional $U(1)^3$ gauged supergravity. The general solution that is interesting for testing the AdS$_5$/CFT$_4$ correspondence in M-theory, is characterized by its mass, two unequal rotation parameters, three different U(1) charges, and a negative cosmological constant. The metric ansatz is very universal and illuminative, it is not only especially suitable for constructing solutions with multiple different electric charges in (un)gauged supergravities, but also for other dilatonic gravity theory.