Some anisotropic cosmological models in a modified theory of gravitation. (English) Zbl 1276.83038
Summary: Field equations in a modified theory of gravitation proposed by T. Harko et al. [“\(f(R,T)\) gravity”, Phys. Rev. D 84, Article ID 024020 (2011; doi:10.1103/PhysRevD.84.024020)] are obtained with the aid of a spatially homogeneous and anisotropic LRS Bianchi type-II metric. Cosmological models corresponding to stiff fluid, disordered radiation, dust and false vacuum are obtained. Some physical and kinematical properties of each of the models are also studied.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83F05 | Relativistic cosmology |
References:
| [1] | Adhav, K.S.: Astrophys. Space Sci. 339, 365 (2012) · Zbl 1284.83165 · doi:10.1007/s10509-011-0963-8 |
| [2] | Bennett, C.I., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003) · doi:10.1086/377253 |
| [3] | Brans, C.H., Dicke, R.H.: Phys. Rev. 24, 925 (1961) · Zbl 0103.21402 · doi:10.1103/PhysRev.124.925 |
| [4] | Caroll, S.M., Duwuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004) |
| [5] | Chiba, T., Smith, W., Erichcek, A.L.: Phys. Rev. D 75, 124014 (2007) |
| [6] | Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980) · Zbl 0453.53046 · doi:10.1007/BF00763057 |
| [7] | Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D, Part. Fields 84, 024020 (2011) · doi:10.1103/PhysRevD.84.024020 |
| [8] | Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003a) · doi:10.1103/PhysRevD.68.123512 |
| [9] | Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003b) · Zbl 1027.83543 · doi:10.1016/S0370-2693(03)00594-X |
| [10] | Nojiri, S., Odintsov, S.D.: Phys. Lett. A 19, 627 (2004) |
| [11] | Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) · Zbl 1112.83047 · doi:10.1142/S0219887807001928 |
| [12] | Perlmutter, S., et al.: Astrophys. J. 517, 5 (1999) · Zbl 1368.85002 · doi:10.1086/307221 |
| [13] | Reddy, D.R.K., Santhi Kumar, R., Naidu, R.L.: Astrophys. Space Sci. 342, 249 (2012a) · Zbl 1314.83042 · doi:10.1007/s10509-012-1158-7 |
| [14] | Reddy, D.R.K., Naidu, R.L., Satyannarayana, B.: Int. J. Theor. Phys. 51, 3222 (2012b) · Zbl 1259.83009 · doi:10.1007/s10773-012-1203-x |
| [15] | Reiss, A., et al.: Astron. J. 116, 1009 (1998) · doi:10.1086/300499 |
| [16] | Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986) · doi:10.1016/0375-9601(86)90121-0 |
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