On the active gravitational mass of a non-spherical source leaving hydrostatic equilibrium

Details On the active gravitational mass of a non-spherical source leaving hydrostatic equilibrium On the active gravitational mass of a non-spherical source leaving hydrostatic equilibrium

2003-02-03

arxiv.org/abs/gr-qc/0302008v1

Class.Quant.Grav. 20 (2003) 1125-1136

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages Latex, to appear in Class. Quantum Grav

Scientific paper

We obtain an expression for the active gravitational mass (Tolman) of a source of the $\gamma$ metric, just after its departure from hydrostatic equilibrium, on a time scale of the order of (or smaller than) the hydrostatic time scale. It is shown that for very compact sources, even arbitrarily small departures from sphericity, produce significant decreasing (increasing) in the values of active gravitational mass of collapsing (expanding) spheres, with respect to its value in equilibrium, enhancing thereby the stability of the system.

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