Abstract
In this paper, we search the existence of Bianchi type I cosmological model in f(R,T) gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the metric formalism, and reconstruct the corresponding f(R,T) functions. Attention is attached to the special case, f(R,T)=f1(R)+f2(T) and two examples are assumed for this model. In the first example, we consider the unification of matter dominated and accelerated phases with f(R) gravity in anisotropic universe, and in the second instance, model of f(R,T) gravity with transition of matter dominated phase to the acceleration phase is obtained. In both cases, f(R,T) is proportional to a power of R with exponents depending on the input parameters.
References
Abdalla, M.C.B., Odintsov, S.D.: Class. Quantum Gravity 22, L35 (2005)
Adhav, K.S.: Astrophys. Space Sci. 339, 365 (2012)
Akarsu, O., Dereli, T.: Int. J. Theor. Phys. 51, 612 (2012)
Alvarenga, F.G., de la Cruz-Dombriz, A., Houndjo, M.J.S., Rodrigues, M.E., Sáez-Gómez, D.: Phys. Rev. D 87, 103526 (2013a). arXiv:1302.1866 [gr-qc]
Alvarenga, F.G., Houndjo, M.J.S., Monwanou, A.V., Orou, J.B.C.: J. Mod. Phys. 4, 130 (2013b). arXiv:1205.4678 [gr-qc]
Appleby, S.A., Battye, R.A.: Phys. Lett. B 654, 7 (2007)
Bamba, K., Nojiri, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 0810, 045 (2008)
Barrow, J., Maartens, R.: Phys. Rev. D 59, 043502 (1999).
Berman, M.S.: Nuovo Cimento B 74, 182 (1983)
Brevik, I., Pettersen, S.V.: Phys. Rev. D 56, 3322 (1997)
Capozziello, S., Carloni, S., Troisi, A.: Recent Res. Dev. Astron. Astrophys. 1, 625 (2003). astro-ph/0303041
Chaubey, R., Shukla, A.K.: Astrophys. Space Sci. 343, 415 (2013)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)
Dadhich, N.: arXiv:gr-qc/0511123 (2005)
Fayaz, V., Hossienkhani, H.: Astrophys. Space Sci. 343, 291 (2013)
Fayaz, V., Hossienkhani, H., Felegary, F.: Int. J. Theor. Phys. 51, 2656 (2012)
Fayaz, V., Setare, M.R., Hossienkhani, H.: Can. J. Phys. 91, 153 (2013)
Freese, K., Lewis, M.: Phys. Lett. B 540, 1 (2002)
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 84, 024020 (2011). arXiv:1104.2669 [gr-qc]
Hossienkhani, H., Pasqua, A.: Astrophys. Space Sci. 349, 39 (2014)
Houndjo, M.J.S.: Int. J. Mod. Phys. D 21, 1250003 (2012). arXiv:1107.3887v4 [astro-ph.CO]
Houndjo, M.J.S., Piattella, O.F.: Int. J. Mod. Phys. D 2, 1250024 (2012). arXiv:1111.4275 [gr.qc]
Jawad, A., Pasqua, A., Chattopadhyay, S.: Astrophys. Space Sci. 344, 489 (2013). arXiv:1211.7253
Khodam-Mohammadi, A., Majari, P., Malekjani, M.: Astrophys. Space Sci. 331, 673 (2011)
Kiran, M., Reddy, D.R.K.: Astrophys. Space Sci. 346, 521 (2013)
Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields. Butterworth-Heinemann, Oxford (1998)
Naidu, R.L., Reddy, D.R.K., Ramprasad, T., Ramana, K.V.: Astrophys. Space Sci. 348, 247 (2013)
Nojiri, S., Odintsov, S.D.: Gen. Relativ. Gravit. 36, 1765 (2004)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 613, 1 (2005)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007a)
Nojiri, S., Odintsov, S.D.: J. Phys. Conf. Ser. 66, 012005 (2007b)
Nojiri, S., Odintsov, S.D.: arXiv:0807.0685 [hep-th] (2008a)
Nojiri, S., Odintsov, S.D.: arXiv:0801.4843 [astro-ph] (2008b)
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011)
Nojiri, S., Odintsov, S.D., Gorbunova, O.G.: J. Phys. A 39, 6627 (2006)
Nojiri, S., Odintsov, S.D., Tretyakov, P.V.: Prog. Theor. Phys. Suppl. 172, 81 (2008)
Reddy, D.R.K., Naidu, R.L., Satyanarayan, B.: Int. J. Theor. Phys. 51, 3222 (2012)
Reddy, D.R.K., Bhuvana Vijaya, R., Vidya Sagar, T., Naidu, R.L.: Astrophys. Space Sci. 350, 375 (2014a)
Reddy, D.R.K., Santikumar, R., Naidu, R.L.: Astrophys. Space Sci. 342, 249 (2014b)
Saaidi, Kh., Hossienkhani, H.: Astrophys. Space Sci. 333, 305 (2011)
Saha, B.: Chin. J. Phys. 43, 1035 (2005)
Saha, B.: Int. J. Theor. Phys. 45, 952 (2006)
Saha, B., Yadav, A.K.: Astrophys. Space Sci. 341, 651 (2012)
Setare, M.R., Houndjo, M.J.S.: Can. J. Phys. 91, 260 (2013). arXiv:1203.1315 [gr-qc]
Shabani, H., Farhoudi, M.: arXiv:1306.3164 [gr-qc] (2013)
Shamir, M.F., Jhangeer, A., Bhatti, A.A.: arXiv:1207.0708v1 [gr-qc] (2012)
Sharif, M., Zubair, M.: J. Phys. Soc. Jpn. 81, 114005 (2012a). arXiv:1301.2251 [gr-qc]
Sharif, M., Zubair, M.: J. Cosmol. Astropart. Phys. 028, 1203 (2012b). arXiv:1204.0848 [gr-qc]
Sharif, M., Zubair, M.: J. Phys. Soc. Jpn. 82, 014002 (2013). arXiv:1210.3878 [gr-qc]
Sharif, M., Zubair, M.: Astrophys. Space Sci. 349, 457 (2014a)
Sharif, M., Zubair, M.: Astrophys. Space Sci. 349, 529 (2014b)
Singh, J.K., Sharma, N.K.: Int. J. Theor. Phys. 53, 1424 (2014)
Uddin, K., Lidsey, J.E., Tavakol, R.: Gen. Relativ. Gravit. 41, 2725 (2009)
Zeyauddin, M., Saha, B.: Astrophys. Space Sci. 343, 445 (2013)
Zhou, S.Y., Copeland, E.J., Saffin, P.M.: J. Cosmol. Astropart. Phys. 0907, 009 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hossienkhani, H., Najafi, A. & Azimi, N. Reconstruction of f(R,T) gravity in anisotropic cosmological models of accelerating universe. Astrophys Space Sci 353, 311–317 (2014). https://doi.org/10.1007/s10509-014-2068-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-014-2068-7