Supergravity Microstates for BPS Black Holes and Black Rings

TL;DR

This paper introduces a solution generating method for smooth supergravity configurations that replicate the charges of five-dimensional BPS black holes and rings, revealing geometric transitions that eliminate singular sources.

Contribution

It presents a novel technique to construct smooth supergravity solutions with specified charges, involving harmonic functions with positive and negative poles and fluxes through two-cycles.

Findings

Constructed a broad class of smooth supergravity solutions

Demonstrated geometric transitions removing singular sources

Linked solutions to D1/D5/P system charges

Abstract

We demonstrate a solution generating technique, modulo some constraints, for a large class of smooth supergravity solutions with the same asymptotic charges as a five dimensional 3-charge BPS black hole or black ring, dual to a D1/D5/P system. These solutions are characterized by a harmonic function with both positive and negative poles, which induces a geometric transition whereby singular sources have disappeared and all of the net charge at infinity is sourced by fluxes through two-cycles joining the poles of the harmonic function.