Mixed potentials in radiative stellar collapse

Abstract

We study the behaviour 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.

10 pages, To appear in J. Math. Phys

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• All solutions for geodesic anisotropic spherical collapse with shear and heat radiation
• Generalized Euclidean stars with equation of state
• Geodesic models generated by Lie symmetries
• Study of Complexity Factor and Stability of Dynamical Systems in $f(G)$ Gravity
• Stability of Relativistic Spheres Powered by Energy Profile in Einstein Gauss-Bonnet Gravity