Tilted cosmological models in f ( T ) theory of gravity
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ORIGINAL PAPER
Tilted cosmological models in f(T) theory of gravity V J Dagwal1*
and D D Pawar2
1
Department of Mathematics, Government College of Engineering, Nagpur 441 108, India
2
School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Vishnupuri, Nanded 431 606, India Received: 09 November 2019 / Accepted: 6 March 2020
Abstract: We have presented tilted cosmological models in f(T) theory of gravity. f(T) theory is an extension of teleparellel theory of gravity, where T is the torsion scalar. We solve the set of highly nonlinear equation with the help of special law of variation of Hubble’s parameter, proposed by Berman [61] that yields constant deceleration parameter model of universe. We discussed different models combination to evolution f(T) models. Some geometric aspects of the f(T) model are discussed. Keywords: Tilted model; f(T) theory; Hubble’s parameter
1. Introduction Tilted cosmological models are spatially homogeneous and anisotropic cosmological models in which matter does not move orthogonal to the hypersurface of homogeneity. In tilted model, the three velocities indicate further degree of freedom and have detected the presence of dissipative methods comprised gravitational radiation and in non-tilted model which gives the vanish value to the three velocities of any fluid element. Tilted cosmological universe has been explored by King and Ellis [1]; Ellis and King [2]; Pawar and Dagwal [3–8]. Barrow and Hervik [9] have investigated the stability of non-tilted and tilted models. Comoving universe with radiation fluid is obtained by Nilsson et al. [10]. Sharif and Tahir [11] have examined the dynamical and physical properties of tilted universe. The physical and geometrical properties of tilted model with electromagnetic field have presented by Sharif and Majid [12]. The dynamical properties of tilted cosmological universe have explored Pawar et al. [13–19], Dagwal et al. [20]. Sahu [21] have developed tilted cosmological universe in scalar tensor theory of gravitation. Herrera et al. [22] have derived tilted model by using thermodynamical and hydrodynamical properties. Pawar et al. [23] and Dagwal and Pawar [24] have been presented tilted scalar tensor theory of gravitation and tilted two fluids in general
*Corresponding author, E-mail: [email protected]
relativity. Yousaf et al. [25] have obtained physical properties of tilted shear-free axially symmetric models, and Dagwal and Pawar [26] have explored tilted congruences with stiff fluid cosmological models. Sahu et al. [27] have calculated tilted model with wet dark fluid in scalar tensor theory of gravitation. Yousaf [28] has obtained hydrodynamic properties of dissipative fluids associated with tilted observers. Harko et al. [29] have explored f(R, T) modified theories of gravity. Sahoo et al. [30] have presented Kaluza–Klein cosmological model in f(R, T) gravity. Quadratic equation of state solutions with ^ in f(R, T) gravitation theory was discussed by Aygu¨n et al. [31]. Sotiriou and Faraoni [32] have develo
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