Separable metrics and radiating stars
Abstract
We study the junction condition relating the pressure to heat flux at the boundary of an accelerating and expanding spherically symmetric radiating star. We transform the junction condition to an ordinary differential equation by making a separability assumption on the metric functions in the spacetime variables. The condition of separability on the metric functions yields several new exact solutions. A class of shearfree models is found which contains a linear equation of state and generalizes a previously obtained model. Four new shearing models are obtained; all the gravitational potentials can be written explicitly. A brief physical analysis indicates that the matter variables are well behaved.
 Publication:

Pramana
 Pub Date:
 January 2017
 DOI:
 10.1007/s1204301613290
 Bibcode:
 2017Prama..88...19A