Friedmannlike Collapsing Model of a Radiating Sphere with Heat Flow
Abstract
This paper considers a spherical body consisting of a fluid with heat flow which radiates in its exterior a null fluid described by the outgoing Vaidya's metric. A Friedmannlike exact solution of the interior Einstein field equations is given. It is proved that this solution, matched with the outgoing Vaidya matric, represents a physically reasonble collapsing model which, when the heat flow is switched off, reduces to the wellknown collapsing model with dust. The proposed model has the remarkable property that even if the heat flow is small, the horizon will never be formed because, before this happens, the collapsing body will be destroyed by opposite gradients of pressure.
 Publication:

The Astrophysical Journal
 Pub Date:
 April 1988
 DOI:
 10.1086/166233
 Bibcode:
 1988ApJ...327..755K
 Keywords:

 Einstein Equations;
 Gravitational Collapse;
 Heat Transmission;
 Magnetohydrodynamic Flow;
 Radiative Heat Transfer;
 Relativistic Theory;
 Astronomical Models;
 Computational Astrophysics;
 Pressure Gradients;
 Red Shift;
 Stellar Luminosity;
 Astrophysics;
 HYDRODYNAMICS;
 RELATIVITY