High-Speed Cylindrical Collapse of Perfect Fluid

Details High-Speed Cylindrical Collapse of Perfect Fluid High-Speed Cylindrical Collapse of Perfect Fluid

2004-09-10

arxiv.org/abs/gr-qc/0409042v2

Prog.Theor.Phys. 113 (2005) 73-85

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15pages, 1figure, PTPTex

Scientific paper

10.1143/PTP.113.73

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.

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