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- Title
New shear-free relativistic models with heat flow.
- Authors
Msomi, A. M.; Govinder, K. S.; Maharaj, S. D.
- Abstract
We study shear-free spherically symmetric relativistic models with heat flow. Our analysis is based on Lie's theory of extended groups applied to the governing field equations. In particular, we generate a five-parameter family of transformations which enables us to map existing solutions to new solutions. All known solutions of Einstein equations with heat flow can therefore produce infinite families of new solutions. In addition, we provide two new classes of solutions utilising the Lie infinitesimal generators. These solutions generate an infinite class of solutions given any one of the two unknown metric functions.
- Subjects
EINSTEIN field equations; HEAT equation; VERSIFICATION; ASTROPHYSICS; METAPHYSICAL cosmology; HEAT flux; GALAXIES
- Publication
General Relativity & Gravitation, 2011, Vol 43, Issue 6, p1685
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-011-1150-5