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

References in corpus (18)

• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Wormhole solutions in symmetric teleparallel gravity
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Searching for higher dimensional wormholes with noncommutative geometry
• Wormhole inspired by non-commutative geometry
• Phantom stars and topology change
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Weak deflection angle of black-bounce traversable wormholes using Gauss-Bonnet theorem in the dark matter medium
• Wormhole Solutions in Gauss-Bonnet-Born-Infeld Gravity
• Relativistic Bose--Einstein condensates thin-shell wormholes
• Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution
• Non-commutative black holes of various genera in the connection formalism
• On the stability of thin-shell wormholes in noncommutative geometry

Cited by in corpus (7)

• Late-time acceleration in $f\left(Q\right)$ gravity: Analysis and constraints in an anisotropic background
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• Accelerating expansion of the universe in modified symmetric teleparallel gravity
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach