Shearing radiative collapse with expansion and acceleration
Abstract
We investigate the behaviour of a relativistic spherically symmetric radiative star with an accelerating, expanding and shearing interior matter distribution in the presence of anisotropic pressures. The junction condition can be written in standard form in three cases: linear, Bernoulli, and Riccati equations. We can integrate the boundary condition in each case and three classes of new solutions are generated. For particular choices of the metric we investigate the physical properties and consider the limiting behaviour for large values of time. The causal temperature can also be found explicitly.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 March 2012
 DOI:
 10.1063/1.3698286
 arXiv:
 arXiv:1301.1485
 Bibcode:
 2012JMP....53c2506T
 Keywords:

 cosmic acceleration;
 Riccati equations;
 Schwarzschild metric;
 spacetime configurations;
 98.80.Cq;
 04.20.Cv;
 04.20.Gz;
 98.80.Bp;
 Particletheory and fieldtheory models of the early Universe;
 Fundamental problems and general formalism;
 Spacetime topology causal structure spinor structure;
 Origin and formation of the Universe;
 General Relativity and Quantum Cosmology
 EPrint:
 16 pages, To appear in J. Math. Phys