Topological Stars, Black holes and Generalized Charged Weyl Solutions

TL;DR

This paper constructs new five-dimensional solutions called topological stars and generalized charged Weyl solutions, which include multi-body configurations of topological stars and black strings supported by electromagnetic fluxes, with applications in string theory.

Contribution

It introduces a new class of smooth, static solutions in five-dimensional Einstein-Maxwell theory, including multi-body configurations and their embedding in string theory, expanding the landscape of non-extremal charged objects.

Findings

Constructed smooth static bubble solutions ('topological stars') in 5D Einstein-Maxwell theory.

Developed generalized charged Weyl solutions for multi-body configurations.

Embedded solutions in type IIB string theory, revealing new non-supersymmetric charged objects.

Abstract

We construct smooth static bubble solutions, denoted as topological stars, in five-dimensional Einstein-Maxwell theories which are asymptotic to $\mathbb{R}^{1,3}\times$S$^1$. The bubbles are supported by allowing electromagnetic fluxes to wrap smooth topological cycles. The solutions live in the same regime as non-extremal static charged black strings, that reduce to black holes in four dimensions. We generalize to multi-body configurations on a line by constructing closed-form generalized charged Weyl solutions in the same theory. Generic solutions consist of topological stars and black strings stacked on a line, that are wrapped by electromagnetic fluxes. We embed the solutions in type IIB String Theory on S$^1\times$T$^4$. In this framework, the charged Weyl solutions provide a novel class in String Theory of multiple charged objects in the non-supersymmetric and non-extremal black hole regime.