Exact Model for a Gaseous Regular Bouncing Sphere in General Relativity

Details Exact Model for a Gaseous Regular Bouncing Sphere in General Relativity Exact Model for a Gaseous Regular Bouncing Sphere in General Relativity

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ijtp...26..895k&link_type=abstract

International Journal of Theoretical Physics, Volume 26, Issue 9, pp.895-900

Physics

Scientific paper

An exact model for a relativistic “gaseous” sphere (i.e., one whose density ρ vanishes at the outer boundary of the nonstatic sphere together with the pressure p) is given. The model has a bounce: The collapsing sphere comes momentarily to rest when the boundary is still outside the Schwarzschild radius of the matter sphere, then there is a macroscopic bounce, and the matter of the expanding sphere spreads all over the universe. This bouncing solution of Einstein's field equations is physically valid at any moment, i.e., the pressure and the density are positive inside the fluid sphere, and their respective gradients are negative. The mass function is positive, and the circumference is an increasing function of radial coordinate. This solution may represent at easily surveyable model for a supernova explosion where the explosion is so violent that no remnant whatsoever is left.

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