High-Speed Cylindrical Collapse of Two Perfect Fluids - General Relativity and Quantum CosmologyReportar como inadecuado




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Abstract: In this paper, the study of the gravitational collapse of cylindricallydistributed two perfect fluid system has been carried out. It is assumed thatthe collapsing speeds of the two fluids are very large. We explore thiscondition by using the high-speed approximation scheme. There arise two cases,i.e., bounded and vanishing of the ratios of the pressures with densities oftwo fluids given by $c s, d s$. It is shown that the high-speed approximationscheme breaks down by non-zero pressures $p 1, p 2$ when $c s, d s$ are boundedbelow by some positive constants. The failure of the high-speed approximationscheme at some particular time of the gravitational collapse suggests theuncertainity on the evolution at and after this time. In the bounded case, thenaked singularity formation seems to be impossible for the cylindrical twoperfect fluids. For the vanishing case, if a linear equation of state is used,the high-speed collapse does not break down by the effects of the pressures andconsequently a naked singularity forms. This work provides the generalisationof the results already given by Nakao and Morisawa 1 for the perfect fluid.



Autor: M. Sharif, Zahid Ahmad

Fuente: https://arxiv.org/







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