A stellar model with diffusion in general relativity
| Autor: | Simone Calogero, Artur Alho |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
010308 nuclear & particles physics General relativity 010102 general mathematics FOS: Physical sciences General Physics and Astronomy Naked singularity General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) Cosmological constant 01 natural sciences General Relativity and Quantum Cosmology Vaidya metric Numerical relativity Classical mechanics 0103 physical sciences Gravitational collapse Metric (mathematics) Geometry and Topology 0101 mathematics Scalar field Mathematical Physics |
| Zdroj: | Journal of Geometry and Physics. 120:62-72 |
| ISSN: | 0393-0440 |
| DOI: | 10.1016/j.geomphys.2017.05.018 |
| Popis: | We consider a spherically symmetric stellar model in general relativity whose interior consists of a pressureless fluid undergoing microscopic velocity diffusion in a cosmological scalar field. We show that the diffusion dynamics compel the interior to be spatially homogeneous, by which one can infer immediately that within our model, and in contrast to the diffusion-free case, no naked singularities can form in the gravitational collapse. We then study the problem of matching an exterior Bondi type metric to the surface of the star and find that the exterior can be chosen to be a modified Vaidya metric with variable cosmological constant. Finally, we study in detail the causal structure of an explicit, self-similar solution. 16 pages, 2 figures. v2: 17 pages, matches final published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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