Exact black strings and p-branes in general relativity

TL;DR

This paper introduces new exact solutions in general relativity that describe black strings and p-branes supported by scalar fields in various dimensions, expanding the understanding of higher-dimensional black objects.

Contribution

It provides the first analytic solutions for black strings and p-branes with scalar fields in arbitrary dimensions in the context of negative cosmological constant.

Findings

Solutions describe black strings and p-branes supported by scalar fields

Applicable to arbitrary number of dimensions

Finite energy density of scalar fields

Abstract

We present a new set of analytic solutions of general relativity with a negative cosmological constant, which describe black strings and black p-branes in arbitrary number of dimensions, $D$. The solutions are supported by minimally coupled, free scalar fields, carrying finite energy density.