New one-parameter models of dynamical particles in spatially flat FLRW space-times

TL;DR

This paper introduces new one-parameter models of non-rotating dynamical particles in FLRW space-times, generalizing previous models and revealing families that resemble black holes within cosmological horizons.

Contribution

The paper derives novel one-parameter isotropic solutions of Einstein's equations with perfect fluid, extending prior models and exploring their properties through graphical analysis.

Findings

Models behave as non-rotating black holes within horizons.

The free parameter influences the models' properties.

Particles are produced by fluid density singularities without altering asymptotic pressure.

Abstract

New one-parameter models of non-rotating dynamical particles are derived as isotropic solutions of Einstein's equations with perfect fluid in space-times with FLRW asymptotic behaviour generalizing thus the models proposed recently in [I. I. Cot\u aescu, Eur. Phys. J. C (2022) 82:86]. These particles are produced by central singularities of the fluid density but without changing the pressure of the asymptotic FLRW space-times. The principal features of these models are investigated using a brief graphical analysis for pointing out the role of the new free parameter. The conclusion is that this gives rise to families of models which behave as non-rotating black holes in the physical space domain bordered by the black hole and cosmological horizons.