Active Mass Under Pressure
Juergen Ehlers, Istvan Ozsvath, Engelbert Schucking
TL;DR
This paper reviews the role of pressure in active mass density within Einstein's gravity, highlighting its potential significance at Newtonian levels and clarifying a historical puzzle first noted by Tolman.
Contribution
It clarifies the appearance of pressure contributions to active mass density in Einstein's theory, connecting it to Newtonian gravity and resolving a longstanding historical question.
Findings
Pressure contributes to active mass density in Einstein's gravity.
Pressure effects may be noticeable at Newtonian levels.
The paper resolves a historical ambiguity regarding pressure's role.
Abstract
After a historical introduction to Poisson's equation for Newtonian gravity, its analog for static gravitational fields in Einstein's theory is reviewed. It appears that the pressure contribution to the active mass density in Einstein's theory might also be noticeable at the Newtonian level. A form of its surprising appearance, first noticed by Richard Chase Tolman, was discussed half a century ago in the Hamburg Relativity Seminar and is resolved here.
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