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Dark matter as a geometric effect in f(R) gravity
Open accessAbstract
Abstract We consider the behavior of the tangential velocity of test particles moving in stable circular orbits in f ( R ) modified theories of gravity. A large number of observations at the galactic scale have shown that the rotational velocities of massive test particles (hydrogen clouds) tend towards constant values at large distances from the galactic center. We analyze the vacuum gravitational field equations in f ( R ) models in the constant velocity region, and the general form of the metric tensor is derived in a closed form. The resulting modification of the Einstein–Hilbert Lagrangian is of the form R 1 + n , with the parameter n expressed in terms of the tangential velocity. Therefore we find that to explain the motion of test particles around galaxies requires only very mild deviations from classical general relativity, and that modified gravity can explain the galactic dynamics without the need of introducing dark matter.
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Cites
A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
Milgrom, M. (1983) · The Astrophysical Journal · doi:10.1086/161130 · Cited by 3,316
Relativistic gravitation theory for the modified Newtonian dynamics paradigm
Bekenstein, J. D. (2004) · Physical Review D · doi:10.1103/physrevd.70.083509 · Cited by 1,487
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Self-citationModified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 2,734
Metadata
- Authors
- Böhmer, C. G., Harko, T., & Lobo, F. S. N.
- Venue
- Astroparticle Physics
- Publisher
- Elsevier BV
- Published
- 2008-07
- Volume
- 29
- Issue
- 6
- Pages
- 386-392
- ISSN
- 0927-6505 (ISSN-L)
- OpenAlex
- W1995482552
- Cited by
- 278
- References
- 2
- FWCI
- 8.65
- Type
- journal article
- Language
- en
- Open access
- green
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- Böhmer, C. G., Harko, T., & Lobo, F. S. N. (2008). Dark matter as a geometric effect in f(R) gravity. Astroparticle Physics. https://doi.org/10.1016/j.astropartphys.2008.04.003
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