Spherical symmetric parabolic dust collapse: ${\cal C}^{1}$ matching metric with zero intrinsic energy
| Autor: | Juan Antonio Morales-Lladosa, Ramon Lapiedra |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
Basis (linear algebra) 010308 nuclear & particles physics Mathematical analysis Boundary (topology) FOS: Physical sciences Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) 01 natural sciences General Relativity and Quantum Cosmology Hypersurface Exact solutions in general relativity Space and Planetary Science 0103 physical sciences Metric (mathematics) Circular symmetry 010306 general physics Constant (mathematics) Schwarzschild radius Mathematical Physics |
| DOI: | 10.48550/arxiv.1608.01253 |
| Popis: | The collapse of marginally bound, inhomogeneous, pressureless (dust) matter, in spherical symmetry, is considered. The starting point is not, in this case, the integration of the Einstein equations from some suitable initial conditions. Instead, starting from the corresponding general exact solution of these equations, depending on two arbitrary functions of the radial coordinate, the fulfillment of the Lichnerowicz matching conditions of the interior collapsing metric and the exterior Schwarzschild one is tentatively assumed (the continuity of the metric and its first derivatives on the time-like hypersurface describing the evolution of the spherical 2-surface boundary of the collapsing cloud), and the consequences of such a tentative assumption are explored. The whole analytical family of resulting models is obtained and some of them are picked out as physical better models on the basis of the finite and constant value of its {\em intrinsic} energy. Comment: 25 pages, 3 figures. A final Note has been added to the published version |
| Databáze: | OpenAIRE |
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