A different approach to anisotropic spherical collapse with shear and heat radiation

TL;DR

This paper introduces a new method for modeling anisotropic spherical collapse with shear and heat radiation by defining a horizon function, simplifying the main equations, and constructing classes of star models with explicit solutions.

Contribution

It proposes a novel approach using a horizon function to transform the collapse equations into a Riccati form, enabling easier integration and model construction.

Findings

Derived explicit solutions for the collapse equations.

Presented a new framework for modeling anisotropic stellar collapse.

Demonstrated how to build classes of star models using the horizon function.

Abstract

In order to study the type of collapse, mentioned in the title, we introduce a physically meaningful object, called the horizon function. It directly enters the expressions for many of the stellar characteristics. The main junction equation, which governs the collapse, transforms into a Riccati equation with simple coefficients for the horizon function. We integrate this equation in the geodesic case. The same is done in the general case when one or another of the coefficients vanish. It is shown how to build classes of star models in this formulation of the problem and simple solutions are given.