High-Speed Cylindrical Collapse of Perfect Fluid
Abstract
The gravitational collapse of cylindrically distributed perfect fluid is studied. We assume the collapsing speed of fluid is very large and investigate such a situation by recently proposed high-speed approximation scheme. We show that if the value of the pressure divided by the energy density is bounded below by some positive value, the high-speed collapse is necessarily halted. This suggests that the collapsing perfect fluid of realistic ideal gas experiences the pressure bounce. However even in the case of mono-atomic ideal gas, arbitrarily large tidal force for freely falling observers are realizable by setting the initial collapsing velocity exceedingly large. In order that the high-speed collapse of cylindrical perfect fluid forms spacetime singularity, the equation of state should be very soft.
Keywords
Cite
@article{arxiv.gr-qc/0409042,
title = {High-Speed Cylindrical Collapse of Perfect Fluid},
author = {Ken-ichi Nakao and Yoshiyuki Morisawa},
journal= {arXiv preprint arXiv:gr-qc/0409042},
year = {2009}
}
Comments
15pages, 1figure, PTPTex