2016Prespacetime journalRequires access

Dark Energy Cosmological Model with Linear Equation of State in f(T) Gravity

A. Y. Shaikh, S. V. Thakare

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Abstract

A class of solutions of field equations in f ( T ) gravity  for spatially homogeneous and isotropic flat FRW universe with linear equation of state p = αρ - β , where α and β are constants has been investigated. In this universe, the field equation correspond to the particular choice of f ( T ) = α 1 T + β 1 T n . An exact solution of field equations are obtained by applying the law of variation of Hubble’s parameter which yields a constant value of the deceleration parameter. The physical and geometrical parameters along with some kinematical test of the model discussed in detail.

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A class of solutions of field equations in f ( T ) gravity  for spatially homogeneous and isotropic flat FRW universe with linear equation of state p = αρ - β , where α and β are constants has been investigated. In this universe, the field equation correspond to the particular choice of f ( T ) = α 1 T + β 1 T n . An exact solution of field equations are obtained by applying the law of variation of Hubble’s parameter which yields a constant value of the deceleration parameter. The physical and geometrical parameters along with some kinematical test of the model discussed in detail.

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Available abstract

A class of solutions of field equations in f ( T ) gravity  for spatially homogeneous and isotropic flat FRW universe with linear equation of state p = αρ - β , where α and β are constants has been investigated. In this universe, the field equation correspond to the particular choice of f ( T ) = α 1 T + β 1 T n . An exact solution of field equations are obtained by applying the law of variation of Hubble’s parameter which yields a constant value of the deceleration parameter. The physical and geometrical parameters along with some kinematical test of the model discussed in detail.

Key concepts: Deceleration parameter, Friedmann–Lemaître–Robertson–Walker metric, Physics, Dark energy, Hubble's law, Equation of state, Isotropy, Universe

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