The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Light-Ring Stability for Ultracompact Objects
Open accessAbstract
We prove the following theorem: axisymmetric, stationary solutions of the Einstein field equations formed from classical gravitational collapse of matter obeying the null energy condition, that are everywhere smooth and ultracompact (i.e., they have a light ring) must have at least two light rings, and one of them is stable. It has been argued that stable light rings generally lead to nonlinear spacetime instabilities. Our result implies that smooth, physically and dynamically reasonable ultracompact objects are not viable as observational alternatives to black holes whenever these instabilities occur on astrophysically short time scales. The proof of the theorem has two parts: (i) We show that light rings always come in pairs, one being a saddle point and the other a local extremum of an effective potential. This result follows from a topological argument based on the Brouwer degree of a continuous map, with no assumptions on the spacetime dynamics, and, hence, it is applicable to any metric gravity theory where photons follow null geodesics. (ii) Assuming Einstein's equations, we show that the extremum is a local minimum of the potential (i.e., a stable light ring) if the energy-momentum tensor satisfies the null energy condition.
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Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.061102 · Cited by 14,151
GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
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Gravitational Collapse and Space-Time Singularities
Penrose, R. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.57 · Cited by 2,977
GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
Abbott, B. P., Abbott, R., Abbott, T. D., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., Adya, V. B., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.221101 · Cited by 2,483
Quasinormal modes of black holes and black branes
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Self-citationTests of General Relativity with GW150914
Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.221101 · Cited by 1,773
Testing general relativity with present and future astrophysical observations
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Self-citationLorentzian Wormholes: From Einstein to Hawking
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Laser Interferometer Space Antenna
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Self-citation“Golden Oldie”: Gravitational Collapse: The Role of General Relativity
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Cited by
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Metadata
- Authors
- Cunha, P. V. P., Berti, E., & Herdeiro, C. A. R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2017-12-18
- Volume
- 119
- Issue
- 25
- Pages
- 251102-251102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2748990736
- Cited by
- 375
- References
- 33
- FWCI
- 9.16
- Type
- journal article
- Language
- en
- Open access
- bronze
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