Abstract

We study the set of trapped photons outside the event horizon of Schwarzschild–Tangherlini black holes in dimension . We prove that the only trapped photons are those with constant Boyer–Lindquist coordinate radius. We then identify the set of trapped photons as a submanifold of the tangent bundle of the spacetime, and prove that this submanifold has topology , as suggested by Cederbaum–Jahns.

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