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  • Letter

Geometric approach to circular photon orbits and black hole shadows

Chen-Kai Qiao*

Ming Li†

  • College of Science, Chongqing University of Technology, Banan, Chongqing 400054, China

  • Mathematical Science Research Center, Chongqing University of Technology, Banan, Chongqing 400054, China

  • *chenkaiqiao@cqut.edu.cn
  • †mingli@cqut.edu.cn

Phys. Rev. D 106, L021501 – Published 21 July, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L021501

Abstract

Circular photon orbits and black hole shadows are significantly important issues in physics and astronomy, and a number of breakthroughs have been witnessed in recent years. Conventionally, the stable and unstable circular photon orbits are obtained using the effective potential of test particles moving in black hole spacetime. In this work, a pure geometric approach is developed to calculate these circular photon orbits and black hole shadow radius. Furthermore, it can be proved that our geometric approach is completely equivalent to the conventional approach based on effective potentials of test particles.

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