Gravitational stability of finite massive bodies

2006/10/16 by A. W. Zaharow, Zaharow, A. W.
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0610450

arxiv created 2006/10/16 · arxiv updated 2009/12/01

Abstract

Jeans instability of finite massive bodies at hydrostatic equilibrium is studied. Differential equation governing the evolution of infinitesimal disturbances is derived. We take into account radial inhomogeneity of mass density and other fluid parameters at the equilibrium state. Dispersion relation and a simple analytical formula, generalizing the Jeans criterion of instability, are derived.

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