Expansion-free dissipative fluid spheres: Analytical models

TL;DR

This paper derives exact analytical solutions for spherically symmetric dissipative fluid spheres with zero expansion, exploring their potential astrophysical applications and methods for generating new solutions.

Contribution

It introduces new analytical models of dissipative fluid spheres with vanishing expansion, expanding the set of solutions available for astrophysical modeling.

Findings

Derived exact solutions satisfying the vanishing expansion condition

Analyzed potential astrophysical applications of these solutions

Discussed alternative methods for generating new solutions

Abstract

We search exact analytical solutions of spherically symmetric dissipative fluid distributions satisfying the vanishing expansion condition (vanishing expansion scalar $\Theta$). To do so we shall impose additional restrictions allowing the integration of the field equations. A detailed analysis of the obtained solutions, their prospective applications to astrophysical scenarios, as well as alternative approaches to obtain new solutions, are discussed.