Bianchi Type V models with a matter distribution admitting anisotropic pressure and heat flow
Abstract
This paper discusses the evolution of the nontilted, diagonal, nonlocally rotationally symmetric Bianchi Type V models with a matter distribution that allows anisotropic pressure and heat flow. It is found that if the entropy of such models is assumed to be increasing, the anisotropy density necessarily decreases faster than the case with perfect fluid as the source. The factor that accelerates this decrease, in viscosity approximation, is shown to be fully characterizing the effect of viscosity. The initial value equation and the energy conservation equation for such models are derived and discussed in order to find the solution of the Einstein field equations. A new approach is devised to tackle these two equations and used in obtaining an exact solution.
 Publication:

General Relativity and Gravitation
 Pub Date:
 March 1989
 DOI:
 10.1007/BF00764095
 Bibcode:
 1989GReGr..21..211N