Cauchy horizon stability in self-similar collapse: Scalar radiation
Open accessAbstract
The stability of the Cauchy horizon in spherically symmetric self-similar collapse is studied by determining the flux of scalar radiation impinging on the horizon.This flux is found to be finite.
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All self-similar solutions with naked singularities feature a Cauchy horizon, whose classical stability depends on specific energy conditions being satisfied.
“all self-similar solutions with naked singularities feature a Cauchy horizon, whose classical stability depends on specific energy conditions being satisfied [181].”
From Unveiling horizons in quantum critical collapse (2026) · cites this paper as [181]
Section II identifies a Cauchy horizon for the naked-singularity cases considered. The Conclusions report stability under scalar radiation when the dominant energy condition and specified differentiability conditions hold. The paper studies spherically symmetric self-similar collapse, however, and does not establish either assertion for all self-similar solutions or classical stability against perturbations generally. (LLM, conf=0.88)
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References 12 · Cited by 19
- Authors
- Nolan, B. C., & Waters, T. J.
- Affiliations
- Dublin City University (IE)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2002-11-21
- Volume
- 66
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2071809438
- Cited by
- 19
- References
- 12
- Citations by year
- 2026: 1 · 2019: 1 · 2017: 1 · 2015: 1
- FWCI
- 0.86
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Dublin City University Open Access Institutional Repository (Dublin City University) (submittedVersion, cc-by-nc-sa)
- Arrow@dit (Dublin Institute of Technology) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Enterprise Ireland
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Cauchy horizon, self-similar collapse, scalar radiation, spherical collapse, black hole formation
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