Three-dimensional black holes and solitons in higher-dimensional theories with compactification

TL;DR

This paper explores static solutions in higher-dimensional Einstein theories with antisymmetric tensor fields, revealing configurations that combine three-dimensional spacetimes with internal symmetric manifolds, where the internal scale varies radially.

Contribution

It introduces new static solutions in higher-dimensional Einstein theories with antisymmetric tensor fields, incorporating variable internal space scales.

Findings

Solutions describe a product of 3D spacetime and symmetric internal manifold

Internal space scale can depend on radial distance

Includes black hole and soliton configurations in higher dimensions

Abstract

Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an internal maximally symmetric manifold. The scale of the internal space may depend on the radial distance from the origin in these solutions.