Extra force in f(R) modified theories of gravity

By O. Bertolami, C. Boehmer, Tiberiu Harko, Francisco S. N. Lobo. 2007

666 citations recorded by the source corpus.

The equation of motion for massive 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b75506cc692de1be1c4a93ae7ec530314790bb09

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Citations in the corpus

Hybrid Metric-Palatini Gravity (2015, background): “Other extensions of the f(R) framework modify the coupling of matter to gravity by defining an action which depends linearly [39] or nonlinearly upon the matter Lagrangian [40–47], or its trace [48–50].”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, methodology): “In the Newtonian limit, the extra-acceleration generated by the curvature-matter coupling can be expressed in a similar form [9].”
Evolution of cosmological perturbations in Bose–Einstein condensate dark matter (2011, background): “…theoretical models to explain the galactic rotation curves have also been elaborated recently (Milgrom 1983; Mannheim 1993; Bekenstein 2004; Mak & Harko 2004; Brownstein & Moffat 2006; Harko & Cheng 2006; Bertolami et al. 2007; Boehmer & Harko 2007; Boehmer et al. 2008a,b; Capozziello et al. 2009).”