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arXiv · 1909.07298

Trapped photons in Schwarzschild-Tangherlini spacetimes

Mark Bugden
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Abstract

We study the set of trapped photons outside the event horizon of Schwarzschild-Tangherlini black holes in dimension $d\geq4$. 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 $T^1 S^{n-1}\times \mathbb{R}^2$, as suggested in [7].

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Mark Bugden. 2019-09-16. Trapped photons in Schwarzschild-Tangherlini spacetimes. https://doi.org/10.1088/1361-6382%2Fab5493

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