Bolting Multicenter Solutions

TL;DR

This paper develops a new solvable system of equations for non-extremal multicenter solutions in six-dimensional supergravity, introducing a bolt in the base metric and analyzing regularity conditions for smooth, horizonless configurations.

Contribution

It presents a novel set of equations describing non-extremal multicenter solutions with a bolt, extending extremal solutions and analyzing their regularity and smoothness constraints.

Findings

Family of non-extremal axisymmetric solutions with a bolt

Conditions for regularity and smoothness of solutions

Constraints for horizonless solutions with multiple centers

Abstract

We introduce a solvable system of equations that describes non-extremal multicenter solutions to six-dimensional ungauged supergravity coupled to tensor multiplets. The system involves a set of functions on a three-dimensional base metric. We obtain a family of non-extremal axisymmetric solutions that generalize the known multicenter extremal solutions, using a particular base metric that introduces a bolt. We analyze the conditions for regularity, and in doing so we show that this family does not include solutions that contain an extremal black hole and a smooth bolt. We determine the constraints that are necessary to obtain smooth horizonless solutions involving a bolt and an arbitrary number of Gibbons-Hawking centers.