paper

Uniqueness of photon spheres in electro-vacuum spacetimes

arXiv:1508.00355 · doi:10.1088/0264-9381/33/7/075006

Abstract

In a recent paper, the authors established the uniqueness of photon spheres in static vacuum asymptotically flat spacetimes by adapting Bunting and Masood-ul-Alam's proof of static vacuum black hole uniqueness. Here, we establish uniqueness of suitably defined sub-extremal photon spheres in static electro-vacuum asymptotically flat spacetimes by adapting the argument of Masood-ul-Alam. As a consequence of our result, we can rule out the existence of electrostatic configurations involving multiple "very compact" electrically charged bodies and sub-extremal black holes.

16 pages. This paper extends the photon sphere uniqueness result obtained in arXiv:1504.05804 from the vacuum to the electro-vacuum setting. While the general proof method is similar, a number of new nontrivial issues arise

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