The DOI matches its Crossref record; 291 of the 291 references it cites were found in a registry or an index.
f(R,T)gravity
Open accessAbstract
We consider $f(R,T)$ modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar $R$ and of the trace of the stress-energy tensor $T$. We obtain the gravitational field equations in the metric formalism, as well as the equations of motion for test particles, which follow from the covariant divergence of the stress-energy tensor. Generally, the gravitational field equations depend on the nature of the matter source. The field equations of several particular models, corresponding to some explicit forms of the function $f(R,T)$, are also presented. An important case, which is analyzed in detail, is represented by scalar field models. We write down the action and briefly consider the cosmological implications of the $f(R,{T}^{\ensuremath{\phi}})$ models, where ${T}^{\ensuremath{\phi}}$ is the trace of the stress-energy tensor of a self-interacting scalar field. The equations of motion of the test particles are also obtained from a variational principle. The motion of massive test particles is nongeodesic, and takes place in the presence of an extra-force orthogonal to the four velocity. The Newtonian limit of the equation of motion is further analyzed. Finally, we provide a constraint on the magnitude of the extra acceleration by analyzing the perihelion precession of the planet Mercury in the framework of the present model.
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Cites
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Cited by
Bamba, K., Capozziello, S., Nojiri, S., & Odintsov, S. D. (2012) · Astrophysics and Space Science · doi:10.1007/s10509-012-1181-8 · Cited by 2,387
Self-citationAbdalla, E., Abellán, G. F., Aboubrahim, A., Agnello, A., Akarsu, Ö., Akrami, Y., Alestas, G., Aloni, D., Amendola, L., Anchordoqui, L. A., et al. (2022) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2022.04.002 · Cited by 37
Laszlo, I., Bean, R., Kirk, D., & Bridle, S. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2012.20994.x · Cited by 25
Bouncing cosmologies in modified gravity with spacetime torsion
Alam, S., Sen, S., & Sengupta, S. (2025) · The European Physical Journal C · doi:10.1140/epjc/s10052-025-15123-8
Metadata
- Authors
- Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-07-13
- Volume
- 84
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2102716046
- Cited by
- 2,772
- References
- 291
- FWCI
- 29.73
- Type
- journal article
- Language
- en
- Open access
- green
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- Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011). f(R,T)gravity. Physical Review D. https://doi.org/10.1103/physrevd.84.024020
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