On the signature of pressure in gravity

TL;DR

This paper investigates how pressure, when significant relative to energy density, alters the external gravitational field and particle motion, introducing effective mass parameters and analyzing effects via linearized Einstein equations.

Contribution

It introduces a framework with two effective mass parameters to describe gravitational fields when pressure is non-negligible, extending previous models.

Findings

Pressure significantly affects gravitational fields when comparable to energy density.

Two effective mass parameters determine external gravitational effects.

Linearized Einstein equations reveal pressure's influence on test particle motion.

Abstract

When pressure is not negligible in comparison with energy density, the external gravitational field and the motion of particles in it are modified. For spherically symmetric body two effective mass parameters determine the external gravitational field and the motion of particles in it. For distances much larger than the gravitational radius we use the linearized Einstein equations to consider the effects of pressure on test particle motion.