×
Reddy, D. R. K.; Naidu, R. L.; Satyanarayana, B.

Kaluza-Klein cosmological model in \(f(R,T)\) gravity. (English) Zbl 1259.83009

Int. J. Theor. Phys. 51, No. 10, 3222-3227 (2012).
Summary: A five dimensional Kaluza-Klein space-time is considered in the presence of perfect fluid source in \(f(R,T)\) gravity proposed by T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov [“\(f(R,T)\) gravity”, Phys. Rev. D 84, No. 2, Article ID 024020 (2011; doi:10.1103/PhysRevD.84.024020)]. A cosmological model with a negative constant deceleration parameter with an appropriate choice of a function \(f(T)\) is presented. To find a determinate solution of the field equations it is assumed that scalar of expansion is proportional to the shear scalar of the space time. The physical behavior of the model is also studied.

Cited in 19 Documents

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83E15 Kaluza-Klein and other higher-dimensional theories
83F05 Relativistic cosmology

Keywords:

Kaluza-Klein model; \(f(R,T)\) gravity; five dimensional model
Cite Review PDF
Full Text: DOI

References:

[1] Sen, D.K.: Z. Phys. 149, 311 (1957) · doi:10.1007/BF01333146
[2] Jordan, P.: Schwerkraft and Weltall. Friedch Vieweg and Sohn, Braunschweig (1955)
[3] Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961) · Zbl 0103.21402 · doi:10.1103/PhysRev.124.925
[4] Nordtvedt, K. Jr.: Astrophys. J. 161, 1059 (1970) · doi:10.1086/150607
[5] Sen, D.K., Dunn, K.: J. Math. Phys. 12, 578 (1971) · Zbl 0211.24804 · doi:10.1063/1.1665623
[6] Ross, D.K.: Phys. Rev. D 5, 284 (1972) · doi:10.1103/PhysRevD.5.284
[7] Dunn, K.A.: J. Math. Phys. 15, 389 (1974) · Zbl 0292.53029 · doi:10.1063/1.1666603
[8] Schmidt, G., Greiner, W., Heinz, U., Muller, B.: Phys. Rev. D 24, 1484 (1981) · doi:10.1103/PhysRevD.24.1484
[9] Rosen, N.: Gen. Relativ. Gravit. 4, 435 (1973) · Zbl 0977.83501 · doi:10.1007/BF01215403
[10] Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) · Zbl 1112.83047 · doi:10.1142/S0219887807001928
[11] Bertolami, O., et al.: Mon. Not. R. Astron. Soc. 353, 329 (2004) · doi:10.1111/j.1365-2966.2004.08079.x
[12] Srivatsava, S.K.: Phys. Lett. B 619, 1 (2005) · doi:10.1016/j.physletb.2005.05.056
[13] Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002) · doi:10.1103/PhysRevD.66.043507
[14] Bilic, N., Tupper, G.B., Viollier, R.: Phys. Lett. B 535, 17 (2002) · Zbl 0995.83512 · doi:10.1016/S0370-2693(02)01716-1
[15] Avelino, C., Beca, L.M.G., Decarvalho, J.P.M., Martins, C.J.A.P., Pinto, P.: Phys. Rev. D 67, 023511 (2003)
[16] Amirhashchi, H., Pradhan, A., Saha, B.: Chin. Phys. Lett. 28, 039801 (2011)
[17] Pradhan, A., Amirhashchi, H., Saha, B.: Astrophys. Space Sci. 333(1), 343–350 (2011) · doi:10.1007/s10509-011-0626-9
[18] Amirhaschi, H., Pradhan, A., Zanuddin, H.: Int. J. Theor. Phys. 50, 3529–3543 (2011) · Zbl 1242.83110 · doi:10.1007/s10773-011-0861-4
[19] Saha, B., Amirhaschi, H., Pradhan, A.: arXiv:1108.2133 [gr-qc]
[20] Setare, M.R.: Eur. Phys. J. C 50, 991 (2007) · doi:10.1140/epjc/s10052-007-0262-2
[21] Setare, M.R.: Int. J. Theor. Phys. 49, 759 (2010) · Zbl 1190.83129 · doi:10.1007/s10773-010-0254-0
[22] Cataldo, M., Arevalo, F., Mella, P.: Astrophys. Space. Sci. 333, 287 (2011) · Zbl 1230.83098 · doi:10.1007/s10509-011-0596-y
[23] Katore, S.D., Adhav, K.S., Shaik, A.Y., Sancheti, M.M.: Astrophys. Space. Sci. 333, 333 (2011) · Zbl 1230.83107 · doi:10.1007/s10509-011-0622-0
[24] Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002) · Zbl 1062.83565 · doi:10.1142/S0218271802002025
[25] Caroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)
[26] Dolgov, A.D., Kawasaki, M.: Phys. Lett. B 573, 1 (2003) · Zbl 1037.83028 · doi:10.1016/j.physletb.2003.08.039
[27] Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003) · doi:10.1103/PhysRevD.68.123512
[28] Nojiri, S., Odintsov, S.D.: Phys. Lett. A 19, 627 (2004)
[29] Mena, O., Santiago, J., Weller, J.: Phys. Rev. Lett. 96, 041103 (2006) · doi:10.1103/PhysRevLett.96.041103
[30] Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006) · Zbl 1203.83061 · doi:10.1142/S021827180600942X
[31] Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: arXiv:1104.2669 [gr-qc] (2011)
[32] Witten, E.: Phys. Lett. B 144, 351 (1984) · doi:10.1016/0370-2693(84)90422-2
[33] Huang, B., Li, S., Ma, Y.: Phys. Rev. D 81, 064003 (2010)
[34] Agmohammadi, A., Saaidi, K.H., Abolhassani, M.R., Vajdi, A.: Phys. Scr. 80, 065008 (2009)
[35] Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003) · doi:10.1103/PhysRevD.68.123512
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.