Some remarks on the naked singularity phenomenon
DOI:
https://doi.org/10.33910/2687-153X-2020-1-1-20-29Keywords:
gravitational collapse, naked singularity, strength of singularity, black hole, Vaidya spacetimeAbstract
This paper describes a naked singularity phenomenon. The study presents necessary definitions and methods for dealing with this effect. Moreover, the article gives two explicit examples of the naked singularity formation.
References
Dymnikova, I. (2002) The cosmological term as a source of mass. Classical and Quantum Gravity, 19 (4), 725–739. DOI: 10.1088/0264-9381/19/4/306 (In English)
Dymnikova, I. (1992) Vacuum nonsingular black hole. General relativity and gravitation, 24 (3), 235–242. DOI: 10.1007/BF00760226 (In English)
Faraoni, V. (2015) Cosmological and black hole apparent horizons. Cham: Springer, 199 p. DOI: 10.1007/978-3-319-19240-6 (In English)
Goswami, R., Joshi, P. S. (2007) Gravitational collapse of a self-interacting scalar field. Modern Physics Letters A, 22 (01), 65–74. DOI: 10.1142/S0217732307020701 (In English)
Hawking, S. W., Ellis, G. F. R. (1973) The large scale structure of space-time. Cambridge: Cambridge University Press, 391 p. DOI: 10.1017/CBO9780511524646 (In English)
Joshi, P. S. (2007) Gravitational collapse and spacetime singularities. Cambridge: Cambridge University Press, 273 p. DOI: 10.1017/CBO9780511536274 (In English)
Mkenyeleye, M. D., Goswami, R., Maharaj, S. D. (2014) Gravitational collapse of generalized Vaidya spacetime. Physical Review D, 90 (6), 064034. DOI: 10.1103/PhysRevD.90.064034 (In English)
Nolan, B. C. (1999) Strengths of singularities in spherical symmetry. Physical Review D, 60 (2), 024014. DOI: 10.1103/PhysRevD.60.024014 (In English)
Oppenheimer, J. R., Snyder, H. (1939) On continued gravitational contraction. Physical Review, 56 (5), 455–459. DOI: 10.1103/PhysRev.56.455 (In English)
Poisson, E. (2004) A relativist’s toolkit: The mathematics of black-hole mechanics. Cambridge, UK; New York: Cambridge University Press, 233 p. DOI: 10.1017/CBO9780511606601 (In English)
Tipler, F. J. (1977) Singularities in conformally flat spacetimes. Physics Letters A, 64 (1), 8–10. DOI: 10.1016/0375-9601(77)90508-4 (In English)
Vertogradov, V. D. (2016) Naked singularity formation in generalized Vaidya space-time. Gravitation and Cosmology, 22 (2), 220–223. DOI: 10.1134/S020228931602016X (In English)
Vertogradov, V. (2018) The eternal naked singularity formation in the case of gravitational collapse of generalized Vaidya space-time. International Journal of Modern Physics A, 33 (17), 1850102. DOI: 10.1142/S0217751X18501026 (In English)
Wang, A., Wu, Y. (1999) Generalized vaidya solutions. General Relativity and Gravitation, 31 (1), 107–114. DOI: 10.1023/A:1018819521971 (In English)
Downloads
Published
Issue
Section
License
Copyright (c) 2020 Vitalii D. Vertogradov

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The work is provided under the terms of the Public Offer and of Creative Commons public license Creative Commons Attribution 4.0 International (CC BY 4.0).
This license permits an unlimited number of users to copy and redistribute the material in any medium or format, and to remix, transform, and build upon the material for any purpose, including commercial use.
This license retains copyright for the authors but allows others to freely distribute, use, and adapt the work, on the mandatory condition that appropriate credit is given. Users must provide a correct link to the original publication in our journal, cite the authors' names, and indicate if any changes were made.
Copyright remains with the authors. The CC BY 4.0 license does not transfer rights to third parties but rather grants users prior permission for use, provided the attribution condition is met. Any use of the work will be governed by the terms of this license.





