Uniqueness of photon spheres via positive mass rigidity

Carla Cederbaum, Gregory J. Galloway

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In a recent paper the first author established the uniqueness of photon spheres, suitably defined, in static vacuum asymptotically flat spacetimes by adapting Israel’s proof of static black hole uniqueness. In this note we establish uniqueness of photon spheres by adapting the argument of Bunting and Masood-ul-Alam [4], which then allows certain assumptions to be relaxed. In particular, multiple photon spheres are allowed a priori. As a consequence of our result, we can rule out the existence of static configurations involving multiple “very compact” bodies and black holes.

Original languageEnglish (US)
Pages (from-to)303-320
Number of pages18
JournalCommunications in Analysis and Geometry
Issue number2
StatePublished - 2017

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty


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