A Riccati equation in radiative stellar collapse

Details A Riccati equation in radiative stellar collapse A Riccati equation in radiative stellar collapse

2008-08-15

arxiv.org/abs/0808.2101v1

J.Math.Phys.49:012501,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, To appear in J. Math. Phys

Scientific paper

10.1063/1.2832628

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.

Affiliated with

Also associated with

No associations

Rating

A Riccati equation in radiative stellar collapse does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Riccati equation in radiative stellar collapse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Riccati equation in radiative stellar collapse will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-650725