Abstract
In this paper, we develop a new class of analytical solutions describing anisotropic stellar structures of observed neutron stars using modified f(T) gravity. We use the off-diagonal tetrad that is best suitable for studying spherically symmetric objects in f(T) gravity. We develop exact solutions in the quadratic model of f(T) gravity by introducing physically reliable metric potentials that can describe a wide range of astrophysical systems. We then apply the model to investigate the stellar structures of four observed compact stars, 4U 1538-52, J0437-4715, J0030+0451, and 4U 1820-30. We calculate the values of model parameters for the stellar objects under examination in this paper. Comprehensive graphical analysis shows that the model describing anisotropic stellar structures is physically acceptable, causal, and stable. The model inherently exhibits the quadratic equation of state that can be utilized to investigate the material composition and stellar structures of the observed compact stars.
Highlights
The field equation of General Relativity can be derived by varying Einstein–Hilbert action
One possible modification of the General Relativity (GR) is obtained by replacing R with more general function of Ricci scalar f (R) in Einstein–Hilbert action
Analogous to f (R) theory of gravity, physicists developed f (T ) gravity by modifying Teleparallel Equivalent of General Relativity (TEGR) [15,16,17,18]. f (T ) gravity is constructed by using more general function of torsion scalar
Summary
The field equation of General Relativity can be derived by varying Einstein–Hilbert action. One possible modification of the GR is obtained by replacing R with more general function of Ricci scalar f (R) in Einstein–Hilbert action. This theory is known as modified f (R) gravity [14]. In TEGR, an orthogonal tetrad is constructed at each point in tangent space This tetrad field is used as a dynamical variable of TEGR [24]. The field equation of TEGR is constructed by using a torsion scalar that describes the effect of gravity and by using tetrad field as dynamical variables of the theory. F (T ) gravity can be constructed by modifying the action of TEGR by using a more general function of torsion scalar [15]. A systematic approach of the effective field theory in describing torsion
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