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The geometry of photon surfaces
Open accessAbstract
The photon sphere concept in Schwarzschild space–time is generalized to a definition of a photon surface in an arbitrary space–time. A photon sphere is then defined as an SO(3)×R-invariant photon surface in a static spherically symmetric space–time. It is proved, subject to an energy condition, that a black hole in any such space–time must be surrounded by a photon sphere. Conversely, subject to an energy condition, any photon sphere must surround a black hole, a naked singularity or more than a certain amount of matter. A second order evolution equation is obtained for the area of an SO(3)-invariant photon surface in a general nonstatic spherically symmetric space–time. Many examples are provided.
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Cited by
Born–Infeld inspired modifications of gravity
Beltrán Jiménez, J., Heisenberg, L., Olmo, G. J., & Rubiera-Garcia, D. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.11.001 · Cited by 292
Nonsymmetric wormholes and localized big rip singularities in Einstein-Weyl gravity
Bonanno, A., Silveravalle, S., & Zuccotti, A. (2022) · Physical Review D · doi:10.1103/physrevd.105.124059 · Cited by 14
Metadata
- Authors
- Claudel, C.-M., Virbhadra, K. S., & Ellis, G. F. R.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2001-02-01
- Volume
- 42
- Issue
- 2
- Pages
- 818-838
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2133824920
- Cited by
- 598
- References
- 0
- FWCI
- 2.07
- Type
- journal article
- Language
- en
- Open access
- green
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- Claudel, C.-M., Virbhadra, K. S., & Ellis, G. F. R. (2001). The geometry of photon surfaces. Journal of Mathematical Physics. https://doi.org/10.1063/1.1308507
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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