Photon sphere uniqueness in higher-dimensional electrovacuum spacetimes

@article{Jahns2019PhotonSU,
  title={Photon sphere uniqueness in higher-dimensional electrovacuum spacetimes},
  author={Sophia Jahns},
  journal={Classical and Quantum Gravity},
  year={2019},
  volume={36}
}
  • Sophia Jahns
  • Published 23 October 2019
  • Mathematics
  • Classical and Quantum Gravity
We show a uniqueness result for the n-dimensional spatial Reissner–Nordström manifold: a static, electrovacuum, asymptotically flat system which is asymptotically Reissner–Nordström is a subextremal Reissner–Nordström 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–Nordström… 

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