Exploding radiating viscous spheres in general relativity

Details Exploding radiating viscous spheres in general relativity Exploding radiating viscous spheres in general relativity

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.201..191b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 201, no. 2, p. 191-201.

Astronomy and Astrophysics

Astrophysics

18

Fluid Mechanics, Gravitational Collapse, Relativity, Spheres, Viscosity, Anisotropy, Equations Of State, Mathematical Models

Scientific paper

The influence of viscosity on the gravitational collapse in radiating fluid spheres is investigated. The interior solution is matched with the Vaidya metric at the boundary of the fluid distribution. Prescribing an equation of state to take into account the degree of induced anisotropy by the viscosity and using the Herrera et al. (1980) method, we obtain an explicit Tolman VI-like exploding model. The sphere explodes more violently when the anisotropy due to the viscosity is smaller. The shear viscosity diminishes with the expansion of the distribution of matter.

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