Cosmic censorship conjecture in some matching spherical collapsing metrics
arXiv:1703.09133 · doi:10.1103/PhysRevD.95.064025
Abstract
A physically plausible Lema{\^ı}tre-Tolman-Bondi collapse in the marginally bound case is considered. By "physically plausible" we mean that the corresponding metric is matched at the collapsing star surface and further that its {\em intrinsic} energy is, as due, stationary and finite. It is proved for this Lema{\^ı}tre-Tolman-Bondi collapse, for some parameter values, that its intrinsic central singularity is globally naked, thus violating the cosmic censorship conjecture with, for each direction, one photon, or perhaps a pencil of photons, leaving the singularity and reaching the null infinity. Our result is discussed in relation to some other cases in the current literature on the subject in which some of the central singularities are globally naked too.
arXiv comment10 pages, 6 figures
References in corpus (13)
- The Dynamics of General Relativity
- Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
- The Final Fate of Spherical Inhomogeneous Dust Collapse
- Naked strong curvature singularities in Szekeres space-times
- Gravitational Collapse, Black Holes and Naked Singularities
- Non-radial null geodesics in spherical dust collapse
- Gravitational Waves around a Naked Singularity -- Odd-Parity Perturbation of Lemaitre-Tolman-Bondi Space-Time --
- New mathematical framework for spherical gravitational collapse
- On the global visibility of a singularity in spherically symmetric gravitational collapse
- Naked singularities in dust collapse as an existence problem for O.D.E. at a singular point
- On the uniqueness of the space-time energy in General Relativity. The illuminating case of the Schwarzschild metric
- Intrinsic energy of Lemaître-Tolman-Bondi models and cosmological implications
- Central density cusps in the Lemaître-Tolman solutions