Radionic Non-uniform Stable Black Strings

TL;DR

This paper explores non-uniform black strings in a two-brane system, revealing the radion as a key feature and demonstrating their stability and non-uniformity through effective action and catastrophe theory.

Contribution

It introduces the radion as a non-trivial hair of black strings and analyzes their stability and non-uniformity using novel theoretical approaches.

Findings

Radion acts as a non-trivial hair of black strings

Black strings are confirmed to be non-uniform

Solutions are shown to be stable via catastrophe theory

Abstract

Non-uniform black strings in the two-brane system are investigated using the effective action approach. It is shown that the radion acts as a non-trivial hair of black strings. The stability of solutions is demonstrated using the catastrophe theory. The black strings are shown to be non-uniform.