Extra force in $f(R)$ modified theories of gravity

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dc.creatorBertolami, Orfeu
dc.creatorBoehmer, Christian G.
dc.creatorHarko, Tiberiu
dc.creatorLobo, Francisco S. N.
dc.date2007-04-13
dc.date2007-05-24
dc.date.accessioned2026-07-07T10:35:33Z
dc.date.available2026-07-07T10:35:33Z
dc.descriptionThe equation of motion for test particles in $f(R)$ modified theories of gravity is derived. By considering an explicit coupling between an arbitrary function of the scalar curvature, $R$, and the Lagrangian density of matter, it is shown that an extra force arises. This extra force is orthogonal to the four-velocity and the corresponding acceleration law is obtained in the weak field limit. Connections with MOND and with the Pioneer anomaly are further discussed.
dc.descriptionRevtex4 file, 5 pages. Version to appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/0704.1733
dc.identifierhttp://arxiv.org/abs/0704.1733
dc.identifierPhys.Rev.D75:104016,2007
dc.identifierdoi:10.1103/PhysRevD.75.104016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179777
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleExtra force in $f(R)$ modified theories of gravity
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