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Magnetised Strings in Λ-Dominated Anisotropic Universe

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Abstract

In this paper, we have searched the existence of Λ-dominated anisotropic universe filled with magnetized strings. The observed acceleration of universe has been explained by introducing a positive cosmological constant Λ in the Einstein’s field equation which is mathematically equivalent to dark energy with equation of state (EOS) parameter set equal to −1. The present values of the matter and the dark energy parameters (Ω m )0 & (ΩΛ)0 are estimated for high red shift (.3 ≤ z ≤ 1.4) SN Ia supernova data’s of observed apparent magnitude along with their possible error taken from Union 2.1 compilation. It is found that the best fit value for (Ω m )0 & (ΩΛ)0 are 0.2920 & 0.7076 respectively which are in good agreement with recent astrophysical observations in the latest surveys like WMAP and Plank. Various physical parameters such as the matter and dark energy densities, the present age of the universe and the present value of deceleration parameter have been obtained on the basis of the values of (Ω m )0 & (ΩΛ)0.Also, we have estimated that the acceleration would have begun in the past at z = 0.6845 i. e. 6.2341 Gyrs before from now.

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Acknowledgments

This work is supported by the CGCOST Minor Research Project 789/CGCOST/MRP/14. Authors are thankful to IUCAA, Pune, India for providing facility and support where part of this work was carried out.

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Authors and Affiliations

  1. Department of Mathematics, Kalyan P. G. College, Bhilai, 490006, India

    G. K. Goswami & R. N. Dewangan

  2. Department of Physics, United College of Engineering & Research, Greater Noida, 201306, India

    Anil Kumar Yadav

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  1. G. K. Goswami
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  2. Anil Kumar Yadav
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  3. R. N. Dewangan
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Correspondence to Anil Kumar Yadav.

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Goswami, G.K., Yadav, A.K. & Dewangan, R.N. Magnetised Strings in Λ-Dominated Anisotropic Universe. Int J Theor Phys 55, 4651–4664 (2016). https://doi.org/10.1007/s10773-016-3086-8

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  • DOI: https://doi.org/10.1007/s10773-016-3086-8

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