Analytical solutions of spherically symmetric collapse of an anisotropic fluid body into a black hole.

Details Analytical solutions of spherically symmetric collapse of an anisotropic fluid body into a black hole. Analytical solutions of spherically symmetric collapse of an anisotropic fluid body into a black hole.

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jmp....36..340d&link_type=abstract

Journal of Mathematical Physics, Vol. 36, No. 1, p. 340 - 355

Physics

Fluid Dynamics

15

Black Holes: Fluid Dynamics

Scientific paper

Einstein's field equations in a spherically symmetric case are investigated for an anisotropic fluid body. In the interior of the fluid body the three strong energy inequalities of Hawking are required to hold. A class of analytical solutions, involving three parameters, are found which satisfy all the equations and the inequalities prior to the collapse of the boundary inside the event horizon. However, inside the black hole, the fluid undergoes a metamorphosis. It still remains an anisotropic fluid with positive energy density and "radial" pressure, but the fluid motion is superluminous or tachyonic.

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