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Light rings of stationary spacetimes

Rajes Ghosh* and Sudipta Sarkar

  • Indian Institute of Technology, Gandhinagar, Gujarat 382355, India

  • *rajes.ghosh@iitgn.ac.in
  • sudiptas@iitgn.ac.in

Phys. Rev. D 104, 044019 – Published 6 August, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.044019

Abstract

We present a novel theorem regarding light rings in a stationary spacetime with an ergoregion. We prove that any stationary, axisymmetric, and asymptotically flat spacetime in 1+3 dimensions with an ergoregion must have at least one light ring outside the ergoregion. A possible extension of the proof for asymptotically de Sitter and anti–de Sitter spherically symmetric black holes is also discussed.

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