Does pressure increase or decrease active gravitational mass density

Abhas Mitra

doi:10.1016/j.physletb.2010.01.048

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Does pressure increase or decrease active gravitational mass density

2010-02-01

Abhas Mitra *

DOI：10.1016/j.physletb.2010.01.048

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Abstract

En 中文

At first sight, for a static fluid sphere, Effective Mass Energy Density (EMD) appears to be (rho + 3p/c(2)), where rho is the bare mass density, p is the isotropic pressure and c is the speed of light. But it is pointed out that such a direct increase in EMD is valid only for a purely local point of view. And since there is no truly local definition of gravitational field, such a notion could actually be misleading. On the other hand, by using the Tolman mass formula, we point out that. from a global perspective. the Active Mass Energy Density is root g(00)(rho + 3p/c(2)) and which is obviously smaller than (rho + 3p/c(2)) because g(00) < 1. Then we show that the AGMD eventually is (rho - 3p/c(2)), i.e., exactly opposite to what is generally believed. We further identify the AGMD to be proportional to the Ricci Scalar. By using this fundamental and interesting property, we obtain the GR virial theorem in terms of appropriate proper energies. (C) 2010 Elsevier B.V. All rights reserved.

Keywords:

GENERAL-RELATIVITY

FLUID SPHERES

ENERGY

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