Abstract
In the present study, we investigate the Bianchi type III cosmological model in the context of Brans–Dicke (BD) theory of gravitation. We assume viscous holographic dark energy as a matter source. Exact solutions of the field equations are obtained. Two different models based on parameter \(m\) are investigated. It is observed that the viscosity and BD coupling constant have a measurable effect on dynamical quantities. Some physical parameters are also discussed.
Similar content being viewed by others
References
Banerjee, A., Santos, N.O.: Nuovo Cimento B 67, 31 (1982)
Bolotin, Yu.L., Cherkaskiy, V.A., Lamets, D.A., Yerokhin, D.A., Zazunov, L.G.: (2015). arXiv:1502.00811v1
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Chimento, L.P., Jakubi, A.S.: (1995). arXiv:9508024v1
Das, S., Banerjee, N.: (2008). arXiv:0803.3936v2
del Campo, S., Fabris, J.C., Herrera, R., Zimdahl, W.: (2011). arXiv:1103.3441
Dunkley, J., et al.: Astrophys. J. Suppl. 180, 306 (2009)
Eckart, C.: Phys. Rev. D 58, 919 (1940)
Farrar, G.L., Peebles, P.J.E.: (2004). astro-ph/0307316
Garnavich, P.M., et al.: Astrophys. J. 493, L53 (1998)
Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008)
Horava, P., Minic, D.: Phys. Lett. 85, 1610 (2000)
Jamil, M.: Int. J. Theor. Phys. 49, 2829–2840 (2010)
Johri, V.B., Goswami, G.K.: Aust. J. Phys. 34, 261 (1981)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. 511, 26 (2001)
Katore, S.D., Sancheti, M.M., Hatkar, S.P., Sarkate, N.K.: Commun. Theor. Phys. 62(5), 768–774 (2014)
Kiran, M., Reddy, D.R.K., Rao, V.U.M.: Astrophys. Space Sci. 360, 54 (2015)
Kumar, S.: Mon. Not. R. Astron. Soc. 422(3), 2532–2538 (2012)
Kumar, S., Singh, C.P.: Int. J. Theor. Phys. 48, 178 (2009)
La, D., Steinhardt, P.J.: Phys. Rev. Lett. 62, 376 (1989)
Lehners, J.L.: (2009). arXiv:0806.1245v2
Li, M.: Phys. Lett. B 603, 1 (2004)
Linde, A.: Phys. Lett. B 238, 160 (1990)
Mathiazhagan, C., Johri, V.B.: Class. Quantum Gravity 1, L29–L32 (1984)
Perlmutter, S., et al.: Astrophys. J. 483, 565 (1997)
Pradhan, A., Amirhashchi, H.: Astrophys. Space Sci. 332, 441 (2011)
Ram, S.: Gen. Relativ. Gravit. 15, 635 (1983)
Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 312, 99–102 (2007)
Reddy, D.R.K., Anitha, S., Umadevi, S.: Astrophys. Space Sci. 350, 2 (2014)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Saadat, H.: Int. J. Theor. Phys. 50, 1769–1775 (2011)
Sarkar, S.: Astrophys. Space Sci. 349, 985 (2014)
Singh, J.K.: Int. J. Mod. Phys. A 25(18819), 3817–3824 (2010)
Singh, C.P., Srivastava, M.: Eur. Phys. J. C 78, 190 (2018)
Singh, G.P., Kale, A.Y., Tripathi, J.: Rom. J. Phys. 58(1–2), 23–35 (2013)
Singha, A.K., Debnath, U.: Int. J. Theor. Phys. 50, 1536 (2011)
Som, S., Sil, A.: (2014). arXiv:1412.0526
Steinhardt, P.J., Acceta, F.S.: Phys. Rev. Lett. 64, 2470 (1990)
’t Hooft, G.: (1993). arXiv:gr-qc/9310026
Tegmark, M., et al.: Astrophys. J. Suppl. 69, 103501 (2004)
Thomas, S.D.: Phys. Rev. Lett. 89, 081310 (2002)
Thorlacius, L.: (2004). arXiv:hep-th/0404098
Wei, H., Zhang, S.N.: Phys. Rev. D 76, 063003 (2007)
Wu, Y.B., Li, S., Fu, M.H., He, J.: Gen. Relativ. Gravit. 39, 653–662 (2007)
Zhang, X., Wu, F.Q.: Phys. Rev. D 72, 043524 (2005)
Zhang, J., Zhang, X., Liu, H.: Eur. Phys. J. C 52, 693–699 (2007)
Zhao, W.: Phys. Lett. B 655, 99 (2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Hatkar, S.P., Wadale, C.D. & Katore, S.D. Viscous holographic dark energy in Brans–Dicke theory of gravitation. Astrophys Space Sci 365, 7 (2020). https://doi.org/10.1007/s10509-020-3723-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-020-3723-9