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The Role of Magnetic Field in Anisotropic String Cosmological Model

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Abstract

In this paper we consider a spatially homogenous and anisotropic Bianchi type-V space-time model to investigate the effects of a magnetic field in string cosmology. We assume that the string’s direction and magnetic field are along x-axis. The field equations are solved by using the equation of state for a cloud of strings and variable magnetic permeability. We derive exact solutions for three types of strings: (i) Nambu strings, (ii) string model where the sum of energy density and string tension density is zero and (iii) Takabayasi strings. We examine the behaviour of scale factors and other physical parameters with and without magnetic field and it is found that the magnetic field effects the dynamics of the universe at early time. During late time the universe becomes isotropic even in the presence of magnetic field. The universe expands with decelerated rate during early stages of the evolution of the universe but it goes to marginal inflation at late times.

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  1. Department of Applied Mathematics, Delhi Technological University (Formerly Delhi College of Engineering), Bawana Road, Delhi, 110 042, India

    C. P. Singh

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  1. C. P. Singh
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Singh, C.P. The Role of Magnetic Field in Anisotropic String Cosmological Model. Int J Theor Phys 53, 1533–1546 (2014). https://doi.org/10.1007/s10773-013-1952-1

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  • DOI: https://doi.org/10.1007/s10773-013-1952-1

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