New class of geodesic radiating systems
Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
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Accepted: 17 October 2017
Published online: 28 November 2017
The Einstein field equations and junction conditions are studied for a radiating object in which particles are travelling in geodesic motion. The boundary condition at the surface of the star is a Riccati equation in general. We show that several new classes of exact solutions exist. The solutions have a simple form and can be expressed in terms of elementary functions. Earlier models are regained which were found by direct integration of the differential equation and the Lie theory of extended groups.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017