Photon sphere uniqueness in higher-dimensional electrovacuum spacetimes
Abstract
We show a uniqueness result for the n-dimensional spatial Reissner-Nordstr\"om manifold: a static, electrovacuum, asymptotically flat system which is asymptotically Reissner-Nordstr\"om is a subextremal Reissner-Nordstr\"om manifold with positive mass, provided that its inner boundary is a (possibly disconnected) photon sphere that fulfils a suitably defined quasilocal subextremality condition. Our result implies a number of earlier uniqueness results for the Schwarzschild and the Reissner-Nordstr\"om manifolds in the static, (electro-)vacuum, asymptotically flat context, both for photon sphere and black hole inner boundaries, in the tradition of Bunting-Masood-ul Alaam [1] and Ruback [16]. The proof relies on the ideas from those works, combined with newer techniques developed by Cederbaum-Galloway [6] and Cederbaum [2].
Keywords
Cite
@article{arxiv.1910.10691,
title = {Photon sphere uniqueness in higher-dimensional electrovacuum spacetimes},
author = {Sophia Jahns},
journal= {arXiv preprint arXiv:1910.10691},
year = {2020}
}