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An alternative f(R, T) gravity theory and the dark energy problem
Open accessAbstract
Recently, a generalized gravity theory was proposed by Harko et al. where the Lagrangian density is an arbitrary function of the Ricci scalar R and the trace of the stress-energy tensor T, known as F(R,T) gravity. In their derivation of the field equations, they have not considered conservation of the stress-energy tensor. In the present work, we have shown that a part of the arbitrary function f(R,T) can be determined if we take into account of the conservation of stress-energy tensor, although the form of the field equations remain similar. For homogeneous and isotropic model of the universe the field equations are solved and corresponding cosmological aspects has been discussed. Finally, we have studied the energy conditions in this modified gravity theory both generally and a particular case of perfect fluid with constant equation of state.
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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
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Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
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The Confrontation between General Relativity and Experiment
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Cited by
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
In the realm of the Hubble tension—a review of solutions *
Di Valentino, E., Mena, O., Pan, S., Visinelli, L., Yang, W., Melchiorri, A., Mota, D. F., Riess, A. G., & Silk, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac086d · Cited by 2,065
Thermodynamic 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
Metadata
- Authors
- Chakraborty, S.
- Venue
- General Relativity and Gravitation
- Published
- 2013-08-10
- Volume
- 45
- Issue
- 10
- Pages
- 2039-2052
- ISSN
- 0001-7701 (ISSN-L)
- 1572-9532
- OpenAlex
- W2005602161
- Cited by
- 181
- References
- 6
- FWCI
- 4.01
- Type
- journal article
- Language
- en
- Open access
- green
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