Photon surfaces with equipotential time slices

Carla Cederbaum, Gregory J. Galloway

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Photon surfaces are timelike totally umbilic hypersurfaces of Lorentzian spacetimes. In the first part of this paper, we locally characterize all possible photon surfaces in a class of static spherically symmetric spacetimes that includes (exterior) Schwarzschild, Reissner-Nordström, and Schwarzschild-anti de Sitter in n + 1 dimensions. In the second part, we prove that any static, vacuum, and "asymptotically isotropic"n + 1-dimensional spacetime that possesses what we call an "equipotential"and "outward directed"photon surface is isometric to the Schwarzschild spacetime of the same (necessarily positive) mass using a uniqueness result obtained by the first author.

Original languageEnglish (US)
Article number0042683
JournalJournal of Mathematical Physics
Volume62
Issue number3
DOIs
StatePublished - Mar 1 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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