Generalized virial theorem in f(R) gravity

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dc.creatorBoehmer, Christian G.
dc.creatorHarko, Tiberiu
dc.creatorLobo, Francisco S. N.
dc.date2007-10-04
dc.date2008-03-01
dc.date.accessioned2026-07-07T11:19:46Z
dc.date.available2026-07-07T11:19:46Z
dc.descriptionWe 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.
dc.description12 pages; references added, minor changes, accepted for publication in JCAP
dc.identifierhttps://arxiv.org/abs/0710.0966
dc.identifierhttp://arxiv.org/abs/0710.0966
dc.identifierJCAP0803:024,2008
dc.identifierdoi:10.1088/1475-7516/2008/03/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193798
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleGeneralized virial theorem in f(R) gravity
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