Impact of anisotropic stresses during dissipative gravitational collapse
Reddy, Kevin P.
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Copyright: 2015. Springer Verlag. Due to copyright restrictions, only the abstract is available. For access to the full text item, please consult the publisher's website. The definitive version of the work is published in General Relativity and Gravitation. Vol 47 : 1-13. http://link.springer.com/article/10.1007/s10714-015-1880-x
We employ a perturbative scheme to study the evolution of a spherically symmetric stellar body undergoing gravitational collapse in the presence of heat dissipation and anisotropic stresses. The Bowers and Liang static model is perturbed, and its subsequent dynamical collapse is studied in the linear perturbative regime. We find that anisotropic effects brought about by the differences in the radial and tangential pressures render the core more unstable than the cooler surface layers. An analysis of the temperature profiles in the interior of the collapsing body shows that the temperature is enhanced in the presence of pressure anisotropy.
Reddy, K.P.; Govender, M. and Maharaj, S. D. 2015. Impact of anisotropic stresses during dissipative gravitational collapse. General Relativity and Gravitation. 47: 1-13.