Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor

TL;DR

This paper explores the evolution of self-gravitating systems with minimal complexity, deriving exact models under quasi-homologous conditions, with potential applications in astrophysics.

Contribution

It introduces new analytical models of self-gravitating systems with vanishing complexity factor under quasi-homologous evolution, including dissipative and non-dissipative cases.

Findings

Several exact analytical models are derived.

Models include both cavity-surrounded and shell configurations.

Some models satisfy Darmois and Israel boundary conditions.

Abstract

We investigate the evolution of self-gravitating either dissipative or non--dissipative systems satisfying the condition of minimal complexity, and whose areal radius velocity is proportional to the areal radius (quasi-homologous condition). Several exact analytical models are found under the above mentioned conditions. Some of the presented models describe the evolution of spherically symmetric dissipative fluid distributions whose center is surrounded by a cavity. Some of them satisfy the Darmois conditions whereas others present shells and must satisfy the Israel condition on either one or both boundary surfaces. Prospective applications of some of these models to astrophysical scenarios are discussed.