Affiliation:
1. Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa
Abstract
In this paper, we derive and solve the causal heat transport equation, for a collapsing self-similar radiation shell described by the Vaidya geometry, using a semi-tetrad covariant formalism. This enables us to gain a meaningful insight on how the geometrical quantities associated with this spacetime relate to the causal Maxwell–Cattaneo type hyperbolic transport equations obtained in the phenomenological theories of Muller, Stewart and Israel. It is shown that the causal temperature profile in the collapsing shell is distinct from the Eckart temperature, and this temperature profile can be given explicitly.
Funder
Department of Science and Innovation, South Africa
Publisher
World Scientific Pub Co Pte Ltd
Subject
Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics