Almost-BPS solutions in multi-center Taub-NUT

Abstract

Microstates of multiple collinear black holes embedded in a non-collinear two-center Taub- NUT space-time are sought in 4 dimensions. A set of coupled partial differential equations are obtained and solved for almost-BPSstates, where some supersymmetry is preserved in the context of N = 2supergravity in 4 dimensions. The regularity of solutions is 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 it down to 4 dimensions. This work is a generalization (to three non-collinear centers) of a previous paper by Bena et al.