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Pressure as a Source of Gravity

J. Ehlers·I. Ozsvath·E. L. Schucking·Y. Shang
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Abstract

The active mass density in Einstein's theory of gravitation in the analog of Poisson's equation in a local inertial system is proportional to $ρ+3p/c^2$. Here $ρ$ is the density of energy and $p$ its pressure for a perfect fluid. By using exact solutions of Einstein's field equations in the static case we study whether the pressure term contributes towards the mass.

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J. Ehlers, I. Ozsvath, E. L. Schucking, Y. Shang. 2005-10-08. Pressure as a Source of Gravity. https://doi.org/10.1103/physrevd.72.124003

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