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Bianchi Type-II String Cosmological Model with Magnetic Field in f (R, T) Gravity

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Abstract

The spatially homogeneous and totally anisotropic Bianchi type-II cosmological solutions of massive strings have been investigated in the presence of the magnetic field in the framework of f(R,T) gravity proposed by Harko et al. (Phys Rev D 84:024020, 2011). With the help of special law of variation for Hubble’s parameter proposed by Berman (Nuovo Cimento B 74:182, 1983) cosmological model is obtained in this theory. We consider f(R,T) model and investigate the modification R+f(T) in Bianchi type-II cosmology with an appropriate choice of a function f(T)=μ T. We use the power law relation between average Hubble parameter H and average scale factor R to find the solution. The assumption of constant deceleration parameter leads to two models of universe, i.e. power law model and exponential model. Some physical and kinematical properties of the model are also discussed.

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Acknowledgements

The authors express his thanks to Prof. Raj Senani, Director, NSIT, and Prof. Vijay Gupta, Head, Department of Mathematics, NSIT, India for their continuing encouragement and providing necessary facilities during the work.

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Authors and Affiliations

  1. Department of Mathematics, Netaji Subhas Institute of Technology, University of Delhi, Sector-3, Dwarka, New Delhi, 110078, India

    N. K. Sharma & J. K. Singh

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  1. N. K. Sharma
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  2. J. K. Singh
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Correspondence to N. K. Sharma.

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Sharma, N.K., Singh, J.K. Bianchi Type-II String Cosmological Model with Magnetic Field in f (R, T) Gravity. Int J Theor Phys 53, 2912–2922 (2014). https://doi.org/10.1007/s10773-014-2089-6

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  • DOI: https://doi.org/10.1007/s10773-014-2089-6

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