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

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

2007-04-13

arxiv.org/abs/0704.1733v2

Phys.Rev.D75:104016,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4 file, 5 pages. Version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.75.104016

The 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.

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