1996/02/29 by Justino Martinez, Justino Martínez
Physics and Astronomy · #Anisotropy #Astrophysics #Black Holes and Theoretical Physics #Boundary value problem #Causality (physics) #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Einstein equations #General relativity #Gravitation #Gravitational collapse #Mechanics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Stars #Thermal conduction #Thermodynamics #Uniqueness #astro-ph
paper · pdf · doi:10.1103/physrevd.53.6921
published as Phys.Rev.D53:6921-6940,1996 · RevTex file, 42 pages. 13 postscript figures. Changes in some equations. General results and figures remain unchanged. (Guide to the changes is present in the header of the paper)
arxiv created 1996/02/29 · openalex publication_date 1996/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we introduce a method to study the influence of thermal conduction and viscous processes in a spherically symmetric gravitational collapse. We assume that the viscosity appears because of the interaction between the neutrinos and the matter that composes the fluid. The temperature, bulk viscous pressure, and shear viscous pressure are found. The effect of the latter in the anisotropy of the fluid is studied as well. To this end it is necessary to solve two sets of partial differential equations. First, the Einstein equations are solved using the seminumerical HJR method. The causal Maxwell-Cattaneo-type transport equations form the second set of equations to be solved. The temperature profile, found from the heat transport equation, indicates that the energy of the neutrinos in the surface is not correlated with that of the interior. This behavior, which can be explained in terms of the Eddington approximation, allows us to estimate the thickness of the neutrinosphere. The contribution of the shear viscous pressure to the anisotropy in the core of the star is found to be non-negligible. \textcopyright 1996 The American Physical Society.