caa a22 4500 445385871 CHVBK 20180317143032.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10714-011-1150-5 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1150-5 New shear-free relativistic models with heat flow [Elektronische Daten] [A. Msomi, K. Govinder, S. Maharaj] 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. Springer Science+Business Media, LLC, 2011 Gravitating fluids nationallicence Exact solutions nationallicence Lie symmetries nationallicence Msomi A. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut Govinder K. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut Maharaj S. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/6(2011-06-01), 1685-1696 0001-7701 43:6<1685 2011 43 10714 https://doi.org/10.1007/s10714-011-1150-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1150-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Msomi A. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut NATIONALLICENCE 700 1- Govinder K. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut NATIONALLICENCE 700 1- Maharaj S. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/6(2011-06-01), 1685-1696 0001-7701 43:6<1685 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer