Traversable wormholes in the extended teleparallel theory of gravity with matter coupling

Abstract

This study explores the Gaussian and the Lorentzian distributed spherically symmetric wormhole solutions in the $f(\tau ,T)$ gravity. The basic idea of the Gaussian and Lorentzian noncommutative geometries emerges as the physically acceptable and substantial notion in quantum physics. This idea of the noncommutative geometries with both the Gaussian and Lorentzian distributions becomes more striking when wormhole geometries in the modified theories of gravity are discussed. Here we consider a linear model within $f(\tau ,T)$ gravity to investigate traversable wormholes. In particular, we discuss the possible cases for the wormhole geometries using the Gaussian and the Lorentzian noncommutative distributions to obtain the exact shape function for them. By incorporating the particular values of the unknown parameters involved, we discuss different properties of the new wormhole geometries explored here. It is noted that the involved matter violates the weak energy condition for both the cases of the noncommutative geometries, whereas there is a possibility for a physically viable wormhole solution. By analyzing the equilibrium condition, it is found that the acquired solutions are stable. Furthermore, we provide the embedded diagrams for wormhole structures under Gaussian and Lorentzian noncommutative frameworks. Moreover, we present the critical analysis on an anisotropic pressure under the Gaussian and the Lorentzian distributions.

20 pages, 13 figures, submitted for publication

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• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Influence of GUP corrected Casimir energy on zero tidal force wormholes in modified teleparallel gravity with matter coupling
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• Does violation of Cosmic No-hair Conjecture guarantee the existence of Wormhole?
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Effects of Variable Equations of State on the Stability of Nonlinear Electrodynamics Thin-Shell Wormholes
• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Evolving Wormholes in a Cosmological Background