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General Relativity and Quantum Cosmology

arXiv:2204.07297 (gr-qc)
[Submitted on 15 Apr 2022 (v1), last revised 11 Sep 2024 (this version, v3)]

Title:Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Authors:Chen-Kai Qiao, Ming Li
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Abstract:Circular photon orbit and black hole shadow 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.
Comments: 6+5 pages, 3+1 figures, 2+1 tables; V2: major revision; V3: post-published version, some typos in equations are corrected
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
Cite as: arXiv:2204.07297 [gr-qc]
  (or arXiv:2204.07297v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2204.07297
Journal reference: Physical Review D 106, L021501 (2020)
Related DOI: https://doi.org/10.1103/PhysRevD.106.L021501

Submission history

From: Chen-Kai Qiao [view email]
[v1] Fri, 15 Apr 2022 02:27:17 UTC (1,242 KB)
[v2] Sat, 25 Jun 2022 18:16:39 UTC (4,016 KB)
[v3] Wed, 11 Sep 2024 00:14:22 UTC (4,016 KB)
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