Black String Solutions with arbitrary Tension

TL;DR

This paper explores five-dimensional black string solutions with arbitrary tension, analyzing their properties and showing how the Gregory-Laflamme solution relates to tension and mass parameters.

Contribution

It presents the general black string solution with any tension value, extending previous solutions and clarifying the relationship between tension and mass.

Findings

Gregory-Laflamme solution has tension half of mass per unit length

General black string solutions with arbitrary tension are derived

Properties of these solutions are discussed in detail

Abstract

We consider 1+4 dimensional black string solutions which are invariant under translation along the fifth direction. The solutions are characterized by the two parameters, mass and tension, of the source. The Gregory-Laflamme solution is shown to be characterized by the tension whose magnitude is one half of the mass per unit length of the source. The general black string solution with arbitrary tension is presented and its properties are discussed.