A Riccati equation in radiative stellar collapse
| dc.creator | Rajah, S. S. | |
| dc.creator | Maharaj, S. D. | |
| dc.date | 2008-08-15 | |
| dc.date.accessioned | 2026-07-07T11:45:31Z | |
| dc.date.available | 2026-07-07T11:45:31Z | |
| dc.description | 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. | |
| dc.description | 13 pages, To appear in J. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/0808.2101 | |
| dc.identifier | http://arxiv.org/abs/0808.2101 | |
| dc.identifier | J.Math.Phys.49:012501,2008 | |
| dc.identifier | doi:10.1063/1.2832628 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201904 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A Riccati equation in radiative stellar collapse | |
| dc.type | text |