Non-uniform Black Strings with Schwarzschild-(Anti-)de Sitter Foliation

TL;DR

This paper constructs exact non-uniform black string and brane solutions in higher-dimensional Einstein gravity and Einstein-Maxwell-dilaton theory, with 4D slices being Schwarzschild-(anti-)de Sitter spacetimes, expanding understanding of such configurations.

Contribution

It provides new exact solutions for non-uniform black strings and branes with Schwarzschild-(anti-)de Sitter slices in higher dimensions, including Einstein-Maxwell-dilaton theories.

Findings

Exact non-uniform black string solutions in 5D Einstein gravity.

Generalization to higher dimensions for black branes.

Solutions with Schwarzschild-(anti-)de Sitter slices.

Abstract

We present some exact non-uniform black string solutions of 5-dimensional pure Einstein gravity as well as Einstein-Maxwell-dilaton theory at arbitrary dilaton coupling. The solutions share the common property that their 4-dimensional slices are Schwarzchild-(anti-)de Sitter spacetimes. The pure gravity solution is also generalized to spacetimes of dimensions higher than 5 to get non-uniform black branes.