Radiating relativistic matter in geodesic motion

Abstract

We study the gravitational behaviour of a spherically symmetric radiating star when the fluid particles are in geodesic motion. We transform the governing equation into a simpler form which allows for a general analytic treatment. We find that Bernoulli, Riccati and confluent hypergeometric equations are possible. These admit solutions in terms of elementary functions and special functions. Particular models contain the Minkowski spacetime and the Friedmann dust spacetime as limiting cases. Our infinite family of solutions contains specific models found previously. For a particular metric we briefly investigate the physical features, derive the temperature profiles and plot the behaviour of the casual and acasual temperatures.

15 pages, to appear in J. Math. Phys

References in corpus (5)

• Nonadiabatic charged spherical gravitational collapse
• Some analytical models of radiating collapsing spheres
• Nonlinear Shear-free Radiative Collapse
• A Riccati equation in radiative stellar collapse
• Gravitational collapse of a spherical star with heat flow as a possible energy mechanism of gamma-ray bursts