Regular Article - Theoretical Physics
A perturbative approach to the time-dependent Karmarkar condition
Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
2 Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
3 Department of Physics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
Accepted: 4 February 2021
Published online: 22 February 2021
In this work we employ a perturbative approach to study the gravitational collapse of a shear-free radiating star. The collapse proceeds from an initial static core satisfying the time-independent Karmarkar condition and degenerates into a quasi-static regime with the generation of energy in the form of a radial heat flux. The time-dependent Karmarkar condition is solved together with the boundary condition to yield the full gravitational behaviour of the star. Our model is subjected to rigorous regularity, causality and stability tests.
© The Author(s) 2021
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