Mixed potentials in radiative stellar collapse
Abstract
We study the behavior of a radiating star when the interior expanding, shearing fluid particles are traveling in geodesic motion. We demonstrate that it is possible to obtain new classes of exact solutions in terms of elementary functions without assuming a separable form for the gravitational potentials or initially fixing the temporal evolution of the model unlike earlier treatments. A systematic approach enables us to write the junction condition as a Riccati equation which under particular conditions may be transformed into a separable equation. New classes of solutions are generated which allow for mixed spatial and temporal dependence in the metric functions. We regain particular models found previously from our general classes of solutions.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 July 2010
 DOI:
 10.1063/1.3456081
 arXiv:
 arXiv:1006.4806
 Bibcode:
 2010JMP....51g2502T
 Keywords:

 astrophysical fluid dynamics;
 differential geometry;
 gravitation;
 gravitational collapse;
 Riccati equations;
 spacetime configurations;
 stellar radiation;
 97.10.Ri;
 95.30.Lz;
 95.30.Sf;
 04.20.Gz;
 02.40.Hw;
 Luminosities;
 magnitudes;
 effective temperatures colors and spectral classification;
 Hydrodynamics;
 Relativity and gravitation;
 Spacetime topology causal structure spinor structure;
 Classical differential geometry;
 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, To appear in J. Math. Phys