Abstract:

The H–J–Rs’ method [Phys. Rev. D22, 2305 (1980)] is extended to include the Eddington’s variable factor, the radiation flux factor and a closure relationship between them in order to show its influence on the behavior of density, pressure, fluid velocity and energy radiation flux, among others, of an object under gravitational collapse within the framework of general relativity. The post-quasistatic approximation of Herrera et al [Phys. Rev. D65, 104004 (2002)] along with the Tolman VI equation of state and the Lorentz–Eddington, Bowers–Wilson and Maximum Packing relationships were used to find that the choice of different closure relationships does not affect the global behavior of the system but only the instantaneous values of the different physical quantities.

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