New shear-free relativistic models with heat flow

Details New shear-free relativistic models with heat flow New shear-free relativistic models with heat flow

Jun 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.1685m&link_type=abstract

General Relativity and Gravitation, Volume 43, Issue 6, pp.1685-1696

Physics

1

Gravitating Fluids, Exact Solutions, Lie Symmetries

Scientific paper

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.

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