Dynamics of hyperbolically symmetric fluids

TL;DR

This paper investigates the properties of dissipative fluids with hyperbolical symmetry, revealing negative energy densities, vacuum cavities near the center, and presenting exact solutions with specific thermodynamical and structural features.

Contribution

It provides a detailed analysis of hyperbolically symmetric dissipative fluids, including their physical properties, thermodynamics, and exact solutions under certain conditions.

Findings

Energy density is necessarily negative.

Fluid cannot fill the region near the center, leading to vacuum cavities.

Exact solutions exhibit quasi-homologous evolution and zero complexity factor.

Abstract

We study the general properties of dissipative fluid distributions endowed with hyperbolical symmetry. Their physical properties are analyzed in detail. It is shown that the energy density is necessarily negative and the fluid distribution cannot fill the region close to the center of symmetry. Such a region may be represented by a vacuum cavity around the center. By assuming a causal transport equation some interesting thermodynamical properties of these fluids are found. Several exact analytical solutions which evolve in the quasi-homologous regime and satisfy the vanishing complexity factor condition, are exhibited