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A stellar model with diffusion in general relativity. (arXiv:1602.02663v2 [gr-qc] UPDATED)
来源于:arXiv
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. 查看全文>>