Generalized virial theorem in f(R) gravity

Details Generalized virial theorem in f(R) gravity Generalized virial theorem in f(R) gravity

2007-10-04

arxiv.org/abs/0710.0966v2

JCAP0803:024,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages; references added, minor changes, accepted for publication in JCAP

Scientific paper

10.1088/1475-7516/2008/03/024

We generalize the virial theorem in f(R) modified gravity using the collisionless Boltzmann equation. We find supplementary geometric terms in the modified Einstein equation providing an effective contribution to the gravitational energy. The total virial mass is proportional to the effective mass associated with the new geometrical term, which may account for the well-known virial theorem mass discrepancy in clusters of galaxies. The model predicts that the geometric mass and its effects extend beyond the virial radius of the clusters. We also consider the behavior of the galaxy cluster velocity dispersion in f(R) models. Thus, the f(R) virial theorem can be an efficient tool in observationally testing the viability of this class of generalized gravity models.

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