Abstract
The main purpose of this paper is to explore the exact solutions of Bianchi type V spacetime in f(R, T) theory of gravity (Harko et al. 2011). In this context, two exact solutions are investigated using assumptions of the variation law of Hubble parameter and constant deceleration parameter. The first solution corresponds to a singular model while the second solution gives a non-singular model of the universe. The physical quantities for these models are calculated. Moreover, the energy density and pressure of the universe is discussed in each case.
Similar content being viewed by others
References
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D84, 024020 (2011)
Seprgel, D.N., et al.: Astrophys. J. Suppl. Ser 148, 175 (2003)
Bennett, C.L., et al.: Astrophys. J 148, 1 (2003)
Perlmutter, S., et al.: Astrophys. J 517, 565 (1999)
Riess, A.G., et al.: Astron. J 116, 1009 (1998)
Riess, A.G., et al.: Astrophys. J 607, 665 (2004)
Astier, P., et al. Astron. Astrophys. 447, 31 (2006)
Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)
Astier, P., et al.: Astron. Astrophys. 447, 31 (2006)
Allen, S. W., et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Tegmark, M., et al.: Phys. Rev. D69, 103501 (2004)
Abazajian, K., et al.: Astron. J. 129, 1755 (2005)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007)
Turner, M.S., Huterer, D.: J. Phys. Soc. Jap. 76, 111015 (2007)
Frieman, J., Turner, M., Huterer, D.: Ann. Rev. Astron. Astrophys. 46, 385 (2008)
Li, M., Li, X.D., Wang, S., Wang, Y.: Commun. Theor. Phys 56, 525 (2011)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D15, 1753 (2006)
Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D9, 373 (2000)
Sahni, V.: Lect. Notes. Phys. 653, 141 (2004)
Carroll, S.M.: Living Rev. Rel. 4, 1 (2001)
Weinberg, D.H.: New. Astron. Rev. 49, 337 (2005)
Straumann, N.: Mod. Phys. Lett. A21, 1083 (2006)
Jamil, M., Momeni, D., Myrzakulov, R. Eur. Phys. J. C72, 1959 (2012). ibid. C72, 2075 (2012) ibid. C72, 2122 (2012) ibid. C72, 2137 (2012) ibid. C73, 2267 (2013)
Jamil, M., Yesmakhanova, K., Momeni, D., Myrzakulov, R.: Cent. Eur. J. Phys. 10, 1065 (2012)
Houndjo, M.J.S., Momeni, D., Myrzakulov, R.: Int. J. Mod. Phys. D21, 1250093 (2012)
Rodrigues, M.E., Houndjo, M.J.S., Momeni, D., Myrzakulov, R.: Int. J. Mod. Phys. D22, 1350043 (2013)
Rodrigues, M.E., Houndjo, M.J.S., Tossa, J., Momeni, D., Myrzakulov, R.: JCAP 11, 24 (2013)
Jamil, M., Momeni, D., Myrzakulov, R.: Gen. Rel.Grav. 45, 263 (2013)
Jamil, M., Momeni, D., Myrzakulov, R., Rudra, P.: J. Phys. Soc. Jpn. 81, 114004 (2012)
Yang, R.J.: Europhys. Lett. 93, 60001 (2011)
Wei, H., Ma, X.P., Qi, H.Y.: Phys. Lett. B703, 74 (2011)
Wu, P.X., Yu, H.W.: Eur. Phys. J. C71, 1552 (2011)
Wu, P.X., Yu, H.W.: Phys. Lett. B703, 223 (2011)
Bamba, K., Geng, C.Q., Lee, C.C., Luo, L.W.: JCAP 1101, 021 (2011)
Li, B., Sotiriou, T.P., Barrow, J.D.: Phys. Rev. D83, 104017 (2011)
Sharif, M., Zubair, M.: Adv. High Energy Phys. 2013, 790967 (2013)
Sharif, M., Kausar, H.R.: JCAP 07, 022 (2011)
Sharif, M., Kausar, H.R.: Int. J. Mod. Phys. D20, 2239 (2011)
Sharif, M., Kausar, H.R.: Astrophys. Space Sci. 331, 281 (2011)
Sharif, M., Kausar, H.R.: Mod. Phys. Lett. A25, 3299 (2010)
Farooq, M.U., Jamil, M., Momeni, D., Myrzakulov, R.: Can. J. Phys. 91, 703 (2013)
Bamba, K., Nojiri, S., Odintsov, S.D., Saez-Gomez, D.: Phys. Lett. B730, 136 (2014)
Bamba, K., Makarenko, A.N., Myagky, A.N., Nojiri, S., Odintsov, S.D.: JCAP 01, 008 (2014)
Bamba, K., Nojiri, S., Odintsov, S.D.: Phys. Lett. B698, 451 (2011)
Capozziello, S., Vignolo, S.: Int. J. Geom. Meth. Mod. Phys. 8, 167 (2011)
Capozziello, S., Darabi, F., Vernieri, D. Mod. Phys. Lett. A26, 65 (2011)
Capozziello, S., Laurentis, M.D., Odintsov, S.D., Stabile, A.: Phys. Rev. D83, 064004 (2011)
Elizalde, E., Nojiri, S., Odintsov, S.D., Saez-Gomez, D.: Eur. Phys. J. C70, 351 (2010)
Bamba, K., Geng, C., Nojiri, S., Odintsov, S.D.: Mod. Phys. Lett. A25, 900 (2010)
Capozziello, S., Laurentis, M.D., Nojiri, S., Odintsov, S.D.: Gen. Rel. Grav. 41, 2313 (2009)
Hollenstein, L., Lobo, F.S.N.: Phys. Rev. D78, 124007 (2008)
Sharif, M., Kausar, H.R.: J. Phys. Soc. Jpn. 80, 044004 (2011)
Shojai, A., Shojai, F.: Gen. Relativ. Gravit. 44, 211 (2011)
Sharif, M., Shamir, M.F.: Class. Quantum Grav. 26, 235020 (2009)
Sharif, M., Shamir, M.F.: Gen. Relativ. Gravit 42, 2643 (2010)
Felice, A.D, Tsujikawa, S.: Living Rev. Rel. 13, 3 (2010)
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010)
Clifton, T., Ferreira, P.G., Padilla, A., Skordis, C.: Phys. Rep. 513, 1 (2012)
Nojiri, S., Odintsov, S.D.: Phys. Rept. 505, 59 (2011)
Hendi, S.H., Momeni, D.: Eur. Phys. J. C71, 1823 (2011)
Jamil, M., Mahomed, F.M., Momeni, D.: Phys. Lett. B702, 315 (2011)
Multamäki, T., Vilja, I.: Phys. Rev. D74, 064022 (2006)
Multamäki, T., Vilja, I.: Phys. Rev. D76, 064021 (2007)
Capozziello, S., Stabile, A., Troisi, A.: Class. Quantum Grav. 24, 2153 (2007)
Shamir, M.F., Jhangeer, A., Bhatti, A.A.: Chin. Phys. Lett. 29 (8), 080402 (2012)
Azadi, A., Momeni, D., Nouri-Zonoz, M.: Phys. Lett. B670, 210 (2008)
Momeni, D., Gholizade, H.: Int. J. Mod. Phys. D18, 1719 (2009)
Sharif, M., Arif, S.: Mod. Phys. Lett. A27, 1250138 (2012)
Sharif, M., Shamir, M.F. Mod. Phys. Lett. A25, 1281 (2010)
Jamil, M., Momeni, D., Raza, M., Myrzakulov, R.: Eur. Phys. J. C72, 1999 (2012)
Santos, A.F.: Mod. Phys. Lett. A28, 1350141 (2013)
Sharif, M., Zubair, M.: Astrophys. Space Sci. 349, 529 (2014)
Sharif, M., Zubair, M.: JCAP 03, 028 (2012)
Jamil, M., Momeni, D., Myrzakulov, R.: Chin. Phys. Lett. 29, 109801 (2012)
Houndjo, M.J.S.: Int. J. Mod. Phys. D21, 1250003 (2012)
Jamil, M., Ali, S., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C72, 1998 (2012)
Adhav, K.S.: Astrophys. Space Sci. 339, 365 (2012)
Sharif, M., Zubair, M. Astrophys. Space Sci. 349, 457 (2014)
Shamir, M.F.: Bianchi Type I Cosmology in f(R,T) Gravity. J. Exp. Theor. Phy. 119(2), 242–250 (2014)
Landau, L.D, Lifshitz E.M.: The Classical Theory of Fileds. Butterworth-Heinemann, Oxford (2002)
Saha, B., Rikhvitsky, V.: Physica. D219, 168 (2006)
Shamir, M.F., Bhatti, A.A.: Can. J. Phys. 90, 193 (2012)
Singh, C.P., Kumar, S.: Int. J. Theor. Phys. 47, 3171–3179 (2008)
Singh, C.P., Zeyauddin, M., Ram, S.: Int. J. Theor. Phys. 47, 3162–3170 (2008)
Hogan, J.: Nature. 448, 240 (2007)
Acknowledgments
The author is thankful to National University of Computer and Emerging Sciences (NUCES) Lahore Campus for funding the PhD programme.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shamir, M.F. Exact Solutions of Bianchi Type V Spacetime in f(R, T) Gravity. Int J Theor Phys 54, 1304–1315 (2015). https://doi.org/10.1007/s10773-014-2328-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2328-x