Gravitational Equilibrium in the Presence of a Positive Cosmological Constant

Details Gravitational Equilibrium in the Presence of a Positive Cosmological Constant Gravitational Equilibrium in the Presence of a Positive Cosmological Constant

2001-05-13

arxiv.org/abs/astro-ph/0105212v1

Phys.Rev. D66 (2002) 023003

Astronomy and Astrophysics

Astrophysics

7 pages, no figures

Scientific paper

10.1103/PhysRevD.66.023003

We reconsider the virial theorem in the presence of a positive cosmological constant Lambda. Assuming steady state, we derive an inequality of the form rho >= A (Lambda / 4 pi GN) for the mean density rho of the astrophysical object. With a minimum at Asphere = 2, its value can increase by several orders of magnitude as the shape of the object deviates from a spherically symmetric one. This, among others, indicates that flattened matter distributions like e.g. clusters or superclusters, with low density, cannot be in gravitational equilibrium.

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