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- W3096546720 abstract "Some dynamical aspects of gravitational collapse are explored in this paper. A timedependent spherically symmetric metric is proposed and the corresponding Einstein field equations are derived. An ultrarelativistic dust-like stress-momentum tensor is considered to obtain analytical solutions of these equations, with the perfect fluid consisting of two purely radial fluxes — the inwards flux of collapsing matter and the outwards flux of thermally emitted radiation. Thermal emission is calculated by means of a simplistic but illustrative model of uninteracting collapsing shells. Our results show an asymptotic approach to a maximal space-time deformation without the formation of event horizons. The size of the body is slightly larger than the Schwarzschild radius during most of its lifetime, so that there is no contradiction with either observations or previous theorems on black holes. The relation of the latter with our results is scrutinized in detail. The aim of this paper is to discuss several open problems of conceptual interest concerning black holes and, in particular, to elaborate a simple model of dust-like spherically symmetric gravitational collapse with account of both the inwards flux of the collapsing matter and the outwards flux of emitted thermal radiation. We illustrate how the latter may avoid the formation of event horizons. The metric considered in this work is time-dependent, unlike the Schwarzschild one. Spherical polar coordinates will be used and there will be no need for analytical extensions (such as the one given by the Kruskal-Szekeres chart) because the occurrence of an event horizon at the Schwarzschild radius will be avoided. In Sec. 2 the main historical events concerning the development of the well-known concept of black hole are reviewed and its precise significance is shortly but precisely detailed. In Sec. 3 some open problems of the common black hole model are pointed out and their relationship with the corresponding historical findings is emphasized. Section 4 deals with the development of the metric of the present model: First of all, in subsec. 4.1 a time-dependent spherically symmetric metric in spherical polar coordinates is presented and the corresponding Einstein field equations are specified. Secondly, a dust-like energy momentum tensor for a purely radial motion with account of an ultrarelativistic collapsing matter and thermally emitted radiation is obtained in subsec. 4.2. Temporal evolution of the metric components is studied in subsec. 4.3, with the absence of emitted thermal radiation being detailed as a particular case. Fourthly, in subsec. 4.4 it is shown that there should exist a limit where the inwards flux of collapsing matter and the outwards flux of thermal radiation become compensated. It is also shown the asymptotic character of the approximation to this limit. Some additional considerations about the total mass and the edge of the collapsing body will be made in subsec. 4.5. Finally, our results are discussed in Sec. 5, paying a special attention to the plausibility of the di erent hypothesis and the implications of their alternatives. 2 Important historical results concerning black holes" @default.
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- W3096546720 date "2015-10-01" @default.
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- W3096546720 title "A Model of Dust-like Spherically Symmetric Gravitational Collapse without Event Horizon Formation" @default.
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