D=7 selfdual string in the 5-brane
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=∞ do not see a curvature singularity on the horizon at z=∞.
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