Work

Extra force in f(R) modified theories of gravity

Year: 2007

Type: article

Abstract: 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.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.75.104016

Authors: Orfeu Bertolami, Christian G. Böhmer, Tiberiu Harko, Francisco S. N. Lobo

Institution: Instituto Superior Técnico

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Fundação para a Ciência e a Tecnologia

Award: ACELERAÇÃO TARDIA DO UNIVERSO: ENERGIA ESCURA E GRAVIDADE MODIFICADA