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Extra force inf(R)modified theories of gravity
Open accessAbstract
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.
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Cites
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Metadata
- Authors
- Bertolami, O., Böhmer, C. G., Harko, T., & Lobo, F. S. N.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-05-30
- Volume
- 75
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2154422137
- Cited by
- 1,008
- References
- 50
- FWCI
- 17.71
- Type
- journal article
- Language
- en
- Open access
- green
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