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arXiv · 0808.2101

A Riccati equation in radiative stellar collapse

S. S. Rajah·S. D. Maharaj
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Abstract

We model the behaviour of a relativistic spherically symmetric shearing fluid undergoing gravitational collapse with heat flux. It is demonstrated that the governing equation for the gravitational behaviour is a Riccati equation. We show that the Riccati equation admits two classes of new solutions in closed form. We regain particular models, obtained in previous investigations, as special cases. A significant feature of our solutions is the general spatial dependence in the metric functions which allows for a wider study of the physical features of the model, such as the behaviour of the causal temperature in inhomogeneous spacetimes.

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S. S. Rajah, S. D. Maharaj. 2008-08-15. A Riccati equation in radiative stellar collapse. https://doi.org/10.1063/1.2832628

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