Reconstruction of f(R), f(T) and \(f(\mathcal{G})\) models inspired by variable deceleration parameter
- 136 Downloads
- 5 Citations
Abstract
We study an special law for the deceleration parameter, recently proposed by Akarsu and Dereli, in the context of f(R), f(T) and \(f(\mathcal{G})\) theories of modified gravity. This law covers the law of Berman for obtaining exact cosmological models to account for the current acceleration of the universe, and also gives the opportunity to generalize many of the dark energy models having better consistency with the cosmological observations. Our aim is to reconstruct the f(R), f(T) and \(f(\mathcal{G})\) models inspired by this law of variable deceleration parameter. Such models may then exhibit better consistency with the cosmological observations.
Keywords
Accelerating universe Modified f(R), f(T) and \(f(\mathcal{G})\) gravities Deceleration parameterNotes
Acknowledgements
I would like to thank the anonymous referee for enlightening and very valuable comments on this paper. This work has been supported financially by Research Institute for Astronomy and Astrophysics of Maragha (RIAAM) under research project No. 1/2782-4.
References
- Abazajian, K., et al. (SDSS Collaboration): Astron. J. 128, 502 (2004) ADSCrossRefGoogle Scholar
- Abazajian, K., et al. (SDSS Collaboration): Astron. J. 129, 1755 (2005) ADSCrossRefGoogle Scholar
- Adhav, K.S.: Eur. Phys. J. Plus 126, 122 (2011) CrossRefGoogle Scholar
- Akarsu, O., Dereli, T.: Int. J. Theor. Phys. 51, 612 (2012a) MATHCrossRefGoogle Scholar
- Akarsu, O., Dereli, T.: Int. J. Theor. Phys. (2012b). doi: 10.1007/s10773-012-1200-0 MATHGoogle Scholar
- Astier, P., et al.: Astron. Astrophys. 447, 31 (2006) ADSCrossRefGoogle Scholar
- Atazadeh, K., Darabi, F.: Eur. Phys. J. C 72, 2016 (2012) ADSCrossRefGoogle Scholar
- Bamba, K., Jamil, M., Momeni, D., Myrzakulov, R.: Generalized second law of thermodynamics in f(T) cosmology with power-law and logarithmic corrected entropies (2012a). arXiv:1202.6114
- Bamba, K., Myrzakulov, R., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 85, 104036 (2012b) ADSCrossRefGoogle Scholar
- Bengochea, G., Ferraro, R.: Phys. Rev. D 79, 124019 (2009) ADSCrossRefGoogle Scholar
- Berman, M.S.: Nuovo Cimento B 74, 182 (1983) ADSCrossRefGoogle Scholar
- Berman, M.S., Gomide, F.M.: Gen. Relativ. Gravit. 20, 191 (1988) MathSciNetADSCrossRefGoogle Scholar
- Cai, Y.-F., Chen, S.-H., Dent, J.B., Dutta, S., Saridakis, E.N.: Class. Quantum Gravity 28, 215011 (2011) MathSciNetADSCrossRefGoogle Scholar
- Capozziello, S., De Felice, A.: J. Cosmol. Astropart. Phys. 0808, 016 (2008) ADSCrossRefGoogle Scholar
- Capozziello, S., Francaviglia, M.: Gen. Relativ. Gravit. 40, 357 (2008) MathSciNetADSMATHCrossRefGoogle Scholar
- Capozziello, S., De Laurentis, M., Faraoni, V.: (2009). arXiv:0909.4672
- Carter, B.M.N., Neupane, I.P.: Phys. Lett. B 638, 94 (2006a) ADSMATHCrossRefGoogle Scholar
- Carter, B.M.N., Neupane, I.P.: J. Cosmol. Astropart. Phys. 0606, 004 (2006b) Google Scholar
- de la Cruz-Dombriz, A., Dobado, A.: Phys. Rev. D 74, 087501 (2006) ADSCrossRefGoogle Scholar
- Elizalde, E., Myrzakulov, R., Obukhov, V.V., Sáez-Gómez, D.: Class. Quantum Gravity 27, 095007 (2010) ADSCrossRefGoogle Scholar
- Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007) MathSciNetADSCrossRefGoogle Scholar
- Ferraro, R., Fiorini, F.: Phys. Rev. D 78, 124019 (2008) MathSciNetADSCrossRefGoogle Scholar
- Houndjo, M.J.S., Momeni, D., Myrzakulov, R.: Cylindrical solutions in modified f(T) gravity (2012). arXiv:1206.3938
- Hussain, I., Jamil, M., Mahomed, F.M.: Astrophys. Space Sci. 337, 373 (2012) ADSMATHCrossRefGoogle Scholar
- Jamil, M., Mahomed, F.M., Momeni, D.: Phys. Lett. B 702, 315 (2011) ADSCrossRefGoogle Scholar
- Jamil, M., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C. 72 (2012). 1959 Google Scholar
- Linder, E.V.: Phys. Rev. D 81, 127301 (2010) ADSCrossRefGoogle Scholar
- Myrzakulov, R., Sáez-Gómez, D., Tureanu, A.: Gen. Relativ. Gravit. 43, 1671 (2011) ADSMATHCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D.: Phys. Lett. B 631, 1 (2005) MathSciNetADSMATHCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) MathSciNetMATHCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011) MathSciNetADSCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D., Sasaki, M.: Phys. Rev. D 71, 123509 (2005) ADSCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D., Gorbunova, O.G.: J. Phys. A 39, 6627 (2006a) MathSciNetADSMATHCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D., Sami, M.: Phys. Rev. D 74, 046004 (2006b) ADSCrossRefGoogle Scholar
- Nojiri, S., Odintsov, S.D., Saez-Gomez, D.: Cosmological reconstruction of realistic modified f(R) gravities (2009). arXiv:0908.1269
- Perlmutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999) ADSCrossRefGoogle Scholar
- Rastkar, A.R., Setare, M.R., Darabi, F.: Astrophys. Space Sci. 337, 487 (2012) ADSMATHCrossRefGoogle Scholar
- Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998) ADSCrossRefGoogle Scholar
- Setare, M.R., Darabi, F.: Gen. Relativ. Gravit. 44, 2521 (2012) ADSMATHCrossRefGoogle Scholar
- Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010) MathSciNetADSMATHCrossRefGoogle Scholar
- Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003) ADSCrossRefGoogle Scholar
- Vakili, B.: Phys. Lett. B 664, 16 (2008) MathSciNetADSCrossRefGoogle Scholar
- Wei, H., Guo, X.-J., Wang, L.-F.: Phys. Lett. B 707, 298 (2012) ADSCrossRefGoogle Scholar