Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry

Abstract

This article is based on the study of wormhole geometries in the context of symmetric teleparallel gravity or $f(Q)$ gravity, where $Q$ is the non-metricity scalar, and it is responsible for the gravitational interaction. To discuss the wormhole solutions, we consider spherically symmetric static spacetime metric with anisotropic matter contents under well-known non-commutative distributions known as Gaussian and Lorentzian distributions with an extra condition of permitting conformal killing vectors (CKV). This work aims to obtain wormhole solutions under these distributions, and through we found that wormhole solutions exist under these Gaussian and Lorentzian sources with viable physical properties. Further, we examine the stability of our obtained solutions through Tolman-Oppenheimer-Volkoff (TOV) equation and found that our calculated results are stable.

Annals of Physics published version

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• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Accelerating expansion of the universe in modified symmetric teleparallel gravity
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
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• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
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• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Yang-Mills Casimir wormholes in $D=2+1$
• Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach
• 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
• Modeling and Analyzing Stability of Hybrid Stars within $f(Q)$ Gravity
• The ''Telephone Game'' Effect in Modern Gravity Research
• Stellar isotropic model in the symmetric teleparallel equivalent of general relativity theory
• Vulnerability of f(Q) gravity theory and a possible resolution
• Traversable wormholes in $f(R)$ gravity sourced by a cloud of strings