Conformal isometry of the six-dimensional black string and dualities of null geodesics

Abstract

We show that the extreme six-dimensional black string admits a conformal isometry under inversion. Duality relations between null geodesics of various brane geometries are demonstrated, some of which have a geometrical origin through an optical metric.

9 pages. v2: references added

References in corpus (5)

• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Gravitational instability of an extreme Kerr black hole
• Aretakis Charges and Asymptotic Null Infinity
• A remark about wave equations on the extreme Reissner-Nordström black hole exterior
• Optical 2-metrics of Schwarzschild-Tangherlini Spacetimes and the Bohlin-Arnold Duality