All solutions for geodesic anisotropic spherical collapse with shear and heat radiation

Abstract

We introduce a physically important object, called the horizon function, in the study of geodesic collapse. It is closely related to the stellar characteristics and satisfies a simple Riccati equation. This equation is integrated and all of its solutions are found in terms of some generating functions. Previous solutions are regained and further investigated.

23 pages. arXiv admin note: text overlap with arXiv:1512.04072

References in corpus (5)

• Some analytical models of radiating collapsing spheres
• Collapsing shear-free perfect fluid spheres with heat flow
• A Riccati equation in radiative stellar collapse
• Geodesic models generated by Lie symmetries
• Radiating Gravitational Collapse with an Initial Inhomogeneous Energy Density Distribution

Cited by in corpus (6)

• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
• A different approach to anisotropic spherical collapse with shear and heat radiation
• Riccati equations for bounded radiating systems
• On Properties of Expansion-free Dynamical Stars
• Non-existence of expansion-free dynamical stars with rotation and spatial twist