The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
The matter Lagrangian and the energy-momentum tensor in modified gravity with nonminimal coupling between matter and geometry
Open accessAbstract
We show that in modified $f(R)$ type gravity models with nonminimal coupling between matter and geometry, both the matter Lagrangian and the energy-momentum tensor are completely and uniquely determined by the form of the coupling. This result is obtained by using the variational formulation for the derivation of the equations of motion in the modified gravity models with geometry-matter coupling, and the Newtonian limit for a fluid obeying a barotropic equation of state. The corresponding energy-momentum tensor of the matter in modified gravity models with nonminimal coupling is more general than the usual general-relativistic energy-momentum tensor for perfect fluids, and it contains a supplementary, equation of state dependent term, which could be related to the elastic stresses in the body, or to other forms of internal energy. Therefore, the extra force induced by the coupling between matter and geometry never vanishes as a consequence of the thermodynamic properties of the system, or for a specific choice of the matter Lagrangian, and it is nonzero in the case of a fluid of dust particles.
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Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
Cited by
Unified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models
Nojiri, S., & Odintsov, S. D. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.04.001 · Cited by 4,366
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-citationFurther matters in space-time geometry:f(R,T,RμνTμν)gravity
Haghani, Z., Harko, T., Lobo, F. S. N., Sepangi, H. R., & Shahidi, S. (2013) · Physical Review D · doi:10.1103/physrevd.88.044023 · Cited by 327
Self-citationThermodynamic interpretation of the generalized gravity models with geometry-matter coupling
Harko, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.044067 · Cited by 289
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Metadata
- Authors
- Harko, T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2010-02-12
- Volume
- 81
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2092080603
- Cited by
- 163
- References
- 2
- FWCI
- 4.74
- Type
- journal article
- Language
- en
- Open access
- green
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