A note on acoustic black holes in neo-Newtonian theory

TL;DR

This paper explores how relativistic pressure effects in neo-Newtonian hydrodynamics influence the formation of acoustic black holes, extending classical Newtonian models to include pressure-related inertial effects.

Contribution

It introduces neo-Newtonian hydrodynamics to study acoustic black holes, incorporating relativistic pressure effects neglected in traditional Newtonian fluid models.

Findings

Pressure affects the formation of acoustic horizons.

Neo-Newtonian framework modifies classical acoustic black hole models.

Relativistic inertial effects of pressure are significant in acoustic black hole formation.

Abstract

Newtonian fluid dynamics allows the construction of acoustic metrics from which black hole configurations can be studied. However, relativistic pressure effects are neglected within Newtonian theory. We study acoustic black holes in the framework of neo-Newtonian hydrodynamics, which is designed to take into account relativistic inertial effects of the pressure $p$. Within this new hydrodynamical context we show how $p$ can influence the formation of the acoustic horizons.