2008/01/01 by S. S. Rajah, S. D. Maharaj · 2 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Navier-Stokes equation solutions #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1063/1.2832628
published as J.Math.Phys.49:012501,2008 · 13 pages, To appear in J. Math. Phys
openalex publication_date 2008/01/01 · arxiv created 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We model the behavior of a relativistic spherically symmetric shearing fluid undergoing gravitational collapse with heat flux. It is demonstrated that the governing equation for the gravitational behavior 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 behavior of the causal temperature in inhomogeneous space-times.