Analytical Stellar Models of Neutron Stars in Teleparallel Gravity

Abstract

In this paper, we developed three analytical models and obtained a new class of solutions describing compact stellar structures using the theory of teleparallel gravity. We consider the general anisotropic nature of stellar configurations and solve teleparallel gravity equations. In order to thoroughly analyze the various parameters of the stars, we developed three models by choosing various physically acceptable forms of metric potential $e^{d(r)}$ and radial pressure $p_r(r)$. We also analyze the impact of teleparallel gravity's parameters $\beta$ and ${\beta }_1$ on the description of the stellar structures. We calculated model parameters such that models describing various observed neutron stars obey all physical conditions to be potentially stable and causal. By analyzing the impact of various parameters of teleparallel gravity on the description of anisotropic stellar structures, we found that three models developed in this paper can describe anisotropic neutron stars ranging from low density to high density. Finally, we obtain a quadratic Equation of State for each model describing various neutron stars, which can be utilized to find compositions of the stellar structures. It is very useful to find models that can exhibit quadratic EOS, since material compositions of real neutron stars and strange stars are found to exhibit quadratic EOS by various authors. Non linear $f(T)$ model gives high deviation of EOS from quadratic behaviour, thus, in this paper we work with linear $f(T)$ function by using diagonal tetrad to model realistic compact stars.

made equations more readable and implemented some changes suggested by reviewers

References in corpus (24)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Extreme neutron stars from Extended Theories of Gravity
• Dark Matter: A Primer
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• Static Solutions with Spherical Symmetry in f(T) Theories
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Using Neutron Star Observations to Determine Crust Thicknesses, Moments of Inertia, and Tidal Deformabilities
• Wormholes in a viable f(T) gravity
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• Relativistic compact stars in $f(T)$ gravity admitting conformal motion
• Resolution of dark matter problem in f(T) gravity
• Energy conditions in generalized teleparallel gravity models
• Cylindrical Solutions in Modified f(T) Gravity
• New Modified Mimetic Gravity
• Phase space analysis of interacting dark energy in f(T) cosmology
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• Rotating Neutron Stars in F(R) Gravity with Axions
• Neutron stars in massive scalar-Gauss-Bonnet gravity: Spherical structure and time-independent perturbations
• Is Physics Asking for a New Kinematics?

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