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Exploding radiating viscous spheres in general relativity. (English) Zbl 0778.76103
Summary: 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, Jiménez and Ruggeri method [L. Herrera, J. Jiménez and G. J. Ruggeri, Phys. Rev. D 22, No. 10, 2305-2316 (1980)], 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.

MSC:
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
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