Bianchi types I and V bulk viscous fluid cosmological models in f(R, T) gravity theory

• Authors: Shri Ram , Priyanka Kumari
• Languages of publication: EN

Abstracts

EN

In this paper we present non-singular Bianchi types I and V cosmological models, in the presence of bulk viscous fluid and within the framework of f(R,T) gravity theory. Exact solutions to the field equations are obtained by choosing a particular form of the function f(R,T) and a special value for the average scale factor of the model, which corresponds to a time- dependent deceleration parameter. The cosmological models initially accelerate for a certain period of time and thereafter decelerate. The physical and kinematical properties of the models of the universe are discussed.

Keywords

EN

Bianchi types I and V; Bulk viscous fluid; f(R, T) gravity

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 10
• Pages: 744-754

Dates

published

1 - 10 - 2014

online

16 - 8 - 2014

Contributors

author

Shri Ram

• Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi, 221 005, India

author

Priyanka Kumari

• Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi, 221 005, India

References

• [1] A.G. Riess et al., Astrophys. J. 116, 1009 (1998)
• [2] S. Perlmutter et al., Astrophys. J. 517, 565 (1998) http://dx.doi.org/10.1086/307221[Crossref]
• [3] D. N. Spergel et al., Astrophys. J. Supple. Ser. 170, 377 (2003) http://dx.doi.org/10.1086/513700[Crossref]
• [4] M. Tegmark et al., Phys. Rev. D 69, 103501 (2004) http://dx.doi.org/10.1103/PhysRevD.69.103501[Crossref]
• [5] S. Nojiri, S.D. Odintsov, Phys. Rev. D 74, 086005 (2006) http://dx.doi.org/10.1103/PhysRevD.74.086005[Crossref]
• [6] S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) http://dx.doi.org/10.1142/S0219887807001928[Crossref]
• [7] O. Bertolami et al., Phys. Rev. D 75, 104016 (2007) http://dx.doi.org/10.1103/PhysRevD.75.104016[Crossref]
• [8] M.F. Shamir, Astrophys. Space Sci. 330, 183 (2010) http://dx.doi.org/10.1007/s10509-010-0371-5[Crossref]
• [9] M.F. Shamir, A. Jhangeer Int. J. Theor. Phys. 52, 1326 (2013) http://dx.doi.org/10.1007/s10773-012-1448-4[Crossref]
• [10] K.S. Adhav, Bulg. J. Phys. 39, 197 (2012)
• [11] W. Misner, Nature 214, 40 (1967) http://dx.doi.org/10.1038/214040a0[Crossref]
• [12] W. Misner, Astrophys. J. 151, 431 (1968) http://dx.doi.org/10.1086/149448[Crossref]
• [13] G.L. Murphy, Phys. Rev. D 8, 4231 (1973) http://dx.doi.org/10.1103/PhysRevD.8.4231[Crossref]
• [14] V.A. Belinski, I.M. Khalatnikov, Sov. Phys. JETP 42, 205 (1976)
• [15] S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) http://dx.doi.org/10.1103/PhysRevLett.19.1264[Crossref]
• [16] M.R. Setare, A. Sheykhi, Int. J. Mod. Phys. D 19, 171 (2010) http://dx.doi.org/10.1142/S0218271810016361[Crossref]
• [17] S.R. Roy, O.P. Tiwari, Ind. J. Pure Appl. Math. 14, 233 (1983)
• [18] M. Syzlowski, M. Heller, Acta Phys. Pol. B 14, 303 (1983)
• [19] G. Mohanty, B.D. Pradhan, Int. J. Theor. Phys. 14, 303 (1983)
• [20] A. Banerjee, et al. J. Math. Phys. 26, 11 (1985)
• [21] F.M. Goenner, F. Kowalewsky, Gen. Rel. Gravit. 21, 467 (1987) http://dx.doi.org/10.1007/BF00904498[Crossref]
• [22] A. Banerjee, A.K. Sanyal, Gen. Rel. Gravit. 20, 103 (1988) http://dx.doi.org/10.1007/BF00759320[Crossref]
• [23] A.A. Coley, Gen. Rel. Gravit. 22, 3 (1990) http://dx.doi.org/10.1007/BF00756274[Crossref]
• [24] A.A. Coley, R.J. Hoogan, J. Math. Phys. 35, 4117 (1994) http://dx.doi.org/10.1063/1.530845[Crossref]
• [25] A.A. Coley, B.O.J. Tupper, Phys. Rev. D 29, 2701 (1984) http://dx.doi.org/10.1103/PhysRevD.29.2701[Crossref]
• [26] R. Bali, B.L. Meena, Astrophys. Space Sci. 281, 565 (2002) http://dx.doi.org/10.1023/A:1015826420315[Crossref]
• [27] R. Bali, K. Sharma, Astrophys. Space Sci. 283, 11 (2003) http://dx.doi.org/10.1023/A:1021246411126[Crossref]
• [28] R. Bali, Anjali, Pramana J. Phys. 63, 481 (2004)
• [29] K.S. Adhav et al. Bulg. J. Phys. 34, 260 (2007)
• [30] P. S. Baghel, J.P. Singh, Research in Astron. Astrophys. 12, 1457 (2012) [Crossref]
• [31] T. Harko et al., Phys. Rev. D 84, 064003 (2011) http://dx.doi.org/10.1103/PhysRevD.84.024020[Crossref]
• [32] R. Myrzakulov, Eur. Phys. J. 72, 2203 (2012) http://dx.doi.org/10.1140/epjc/s10052-012-2203-y[Crossref]
• [33] K.S. Adhav, Astrophys. Space Sci. 339, 365 (2012) http://dx.doi.org/10.1007/s10509-011-0963-8[Crossref]
• [34] D.R.K. Reddy et al., Astrophys. Space Sci. 342, 249 (2012) http://dx.doi.org/10.1007/s10509-012-1158-7[Crossref]
• [35] R. Chaubey, A.K. Shukla, Astrophys. Space Sci. 343, 415 (2013) http://dx.doi.org/10.1007/s10509-012-1204-5[Crossref]
• [36] S. Ram et al., Pramana J. Phys. DOI: 10.1007/s12043-013-0547y (2013) [Crossref]
• [37] S. Chandel, S. Ram, Indian J. Phys. DOI: 10.1007/s12648-013-0362-9 (2013) [Crossref]
• [38] G. C. Samanta, Int. J. Theor. Phys. 52, 2647 (2013) http://dx.doi.org/10.1007/s10773-013-1556-9[Crossref]
• [39] D.R.K. Reddy et al., Int. J. Theor. Phys. 51, 249 (2012)
• [40] S. Ram, Priyanka, Astrophys. Space Sci. DOI: 10.1007/s10509-013-1517-z (2013) [Crossref]
• [41] R.L. Naidu et al., Astrophys. Space Sci. DOI: 10.1007/s1050g-013-1540-o [Crossref]
• [42] D.R.K. Reddy et al., Astrophys. Space Sci. DOI: 10.1007/s10.509-013-1417-2 (2013) [Crossref]
• [43] N. Ahmed A. Pradhan, Int. J. Theor. Phys. DOI: 10.1007/s10773-013-1809-7 (2013) [Crossref]
• [44] S. Chakraborty, arXiv:1212.3050 (2013)
• [45] M. Sharif, M. Zubai, Astrophys. Space Sci. 349, 457 (2014) http://dx.doi.org/10.1007/s10509-013-1605-0[Crossref]
• [46] P.K. Sahoo et al., Eur. Phys. J. Plus 129, 49 (2014) http://dx.doi.org/10.1140/epjp/i2014-14049-7[Crossref]
• [47] B. Mishra, P.K. Sahoo, Astrophys. Space Sci. DOI: 10.1007/s10509-014-1914-y [Crossref]
• [48] N.K. sharma, J.K. Singh, Int. J. Theor. Phys. DOI: 10.1007/s 10713-019-20896 [Crossref]
• [49] C.P. Singh, V. Singh, Gen. Relativ. Gravit. 46, 1696 (2014) http://dx.doi.org/10.1007/s10714-014-1696-0[Crossref]
• [50] N.J. Poplawski, arXiv:gr-qc/0608031.
• [51] M.S. Berman, Nuovo Cimento B 74, 182 (1983) http://dx.doi.org/10.1007/BF02721676[Crossref]
• [52] M.S. Berman, F. M. Gomide, Gen. Relativ. Gravit 20, 191 (1988) http://dx.doi.org/10.1007/BF00759327[Crossref]
• [53] Abdussatter, S.R. Prajapati, Astrophys. Space Sci. 331, 657 (2011) http://dx.doi.org/10.1007/s10509-010-0461-4[Crossref]
• [54] M.F. Shamir, A. Jhangeer, A.A. Bhatti, arXiv:1207.0708 (2012)
• [55] T. Padmanabhan, S.M. Chitre, Phys. Lett. A 120, 433 (1987) http://dx.doi.org/10.1016/0375-9601(87)90104-6[Crossref]

Identifiers

DOI

10.2478/s11534-014-0494-3