A perturbative approach to the time-dependent Karmarkar condition

被引：0
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作者：
Megandhren Govender
Wesley Govender
Kevin P Reddy
Sunil D Maharaj
机构：
[1] Durban University of Technology,Department of Mathematics, Faculty of Applied Sciences
[2] University of KwaZulu-Natal,Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science
[3] Durban University of Technology,Department of Physics, Faculty of Applied Sciences
来源：
The European Physical Journal C | 2021年 / 81卷
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摘要：
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.
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