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Naked singularities and other features of self-similar general-relativistic gravitational collapse
Abstract
Self-similar solutions are commonly used to describe Newtonian gravitational collapse. We examine, here, the structure of general-relativistic spherical collapse solutions for a perfect fluid with a barotropic equation of state. We find that these solutions are quite different from the homogeneous Oppenheimer-Snyder dust collapse solution on which our intuition is so heavily based. The most amazing feature that we find is the generic appearance of naked singularities in these solutions.
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Cited by
Naked singularities in spherically symmetric inhomogeneous Tolman-Bondi dust cloud collapse
Joshi, P. S., & Dwivedi, I. H. (1993) · Physical Review D · doi:10.1103/physrevd.47.5357 · Cited by 353
Analytic example of critical behaviour in scalar field collapse
Brady, P. R. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/5/012 · Cited by 107
Self-similar scalar field collapse: Naked singularities and critical behavior
Brady, P. R. (1995) · Physical Review D · doi:10.1103/physrevd.51.4168 · Cited by 87
Ultrarelativistic fluid dynamics
Neilsen, D. W., & Choptuik, M. W. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/4/302 · Cited by 49
Cauchy horizon stability in self-similar collapse: Scalar radiation
Nolan, B. C., & Waters, T. J. (2002) · Physical Review D · doi:10.1103/physrevd.66.104012 · Cited by 19
Metadata
- Authors
- Ori, A., & Piran, T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1990-08-15
- Volume
- 42
- Issue
- 4
- Pages
- 1068-1090
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2063150785
- Cited by
- 259
- References
- 1
- FWCI
- 13.89
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ori, A., & Piran, T. (1990). Naked singularities and other features of self-similar general-relativistic gravitational collapse. Physical Review D. https://doi.org/10.1103/physrevd.42.1068
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