corner
corner
APS » Journals » Phys. Rev. D » Volume 75 » Issue 10
< Previous Article | Next Article >

Phys. Rev. D 75, 104016 (2007) [5 pages]

Extra force in f(R) modified theories of gravity

Download: PDF (99 kB) Buy this article Export: BibTeX or EndNote (RIS)

Orfeu Bertolami*
Instituto Superior Técnico, Departamento de Física and Centro de Física dos Plasmas, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal

Christian G. Böhmer†
Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom

Tiberiu Harko‡
Department of Physics and Center for Theoretical and Computational Physics, The University of Hong Kong, Pok Fu Lam Road, Hong Kong

Francisco S. N. Lobo§
Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom and Centro de Astronomia e Astrofísica da Universidade de Lisboa, Campo Grande, Ed. C8 1749-016 Lisboa, Portugal

Received 18 April 2007; published 30 May 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.104016
DOI:
10.1103/PhysRevD.75.104016
PACS:
04.50.+h, 04.20.Cv, 04.20.Jb, 95.35.+d

*Electronic address: orfeu@cosmos.ist.utl.pt

†Electronic address: christian.boehmer@port.ac.uk

‡Electronic address: harko@hkucc.hku.hk

§Electronic address: francisco.lobo@port.ac.uk

 
< Previous Article | Next Article >