D=7 selfdual string in the 5-brane

TL;DR

This paper investigates the properties of a D=7 extremal BPS selfdual string in N=2 gauged supergravity, showing that its radial trajectories do not encounter a curvature singularity at the horizon, unlike similar black strings.

Contribution

It provides a complete proof that the selfdual string solution avoids horizon singularities in contrast to the Schwarzschild black string in Randall-Sundrum models.

Findings

Radial trajectories do not see a curvature singularity at the horizon.

The selfdual string differs from Schwarzschild black strings in horizon behavior.

The solution remains regular at the horizon.

Abstract

Unlike the Schwarzschild black string in the Randall-Sundrum scenario which is known to have the geodesics reaching the AdS-horizon terminating there, the D=7 extremal BPS selfdual string of N=2 gauged supergravity potentially differs from this result. I give a complete proof that timelike radial trajectories of the selfdual string solution that escapes to r=\infty do not see a curvature singularity on the horizon at z=\infty.