Almost-BPS solutions in multi-center Taub-NUT

TL;DR

This paper constructs and analyzes almost-BPS microstate solutions in multi-center Taub-NUT spacetimes within 4D N=2 supergravity, ensuring regularity and absence of closed time-like curves, contributing to black hole microstate understanding.

Contribution

It derives and solves coupled PDEs for almost-BPS states in multi-center Taub-NUT backgrounds, advancing the construction of microstate geometries with preserved supersymmetry.

Findings

Explicit solutions for almost-BPS states in multi-center Taub-NUT

Ensured regularity and absence of CTCs in solutions

Enhanced understanding of black hole microstates in supergravity

Abstract

Microstates of colinear black holes embedded in a multi-center Taub-NUT spacetime are sought in 4 dimensions. A set of coupled ordinary partial differential equations are obtained and solved for almost-BPS states, where some supersymmetry is preserved in the context of N=2 supergravity in 4 dimensions. The regularity of solutions is being carefully considered and we ensure that no CTC (closed time-like curves) are present. The larger framework is that of 11-dimensional N=2 supergravity and the current theory is obtained by compactifying down to 4 dimensions.