Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity

Abstract

We consider modified symmetric teleparallel gravity (STG), in which gravitational Lagrangian is given by the arbitrary function of non-metricity scalar $Q$ to study static and spherically symmetric charged traversable wormhole solutions with non-commutative background geometry. The matter source at the wormhole throat is acknowledged to be anisotropic, and the redshift function has a constant value (thus, our wormhole solution is non-tidal). We study the obtained field equations with the two functional forms of $f(Q)$ STG models, such as linear $f(Q)=\alpha Q+\beta$ and non-linear $f(Q)=Q+m{Q}^n$ models under Gaussian and Lorentzian distributions. Our analysis found the exact wormhole solutions for the linear STG model only. Also, for the non-linear model, we derived numerically suitable forms of wormhole shape functions directly from the modified Einstein Field Equations (EFEs). Besides, we probed these models via Null, Dominant, and Strong energy conditions with respect to free Modified gravity (MOG) parameters $\alpha$, $\beta$, $m$, and $n$. We also used Tolman-Oppenheimer-Vokloff (TOV) equation to investigate the stability of wormhole anisotropic matter in considered MOG. Finally, we plot the equation of state.

Annals of Physics revised version

References in corpus (25)

• Traversable wormholes: Some simple examples
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Modelling wormholes in $f(R,T)$ gravity
• Energy Conditions in $f(Q)$ gravity
• Testing $F(Q)$ gravity with redshift space distortions
• Signatures of $f(Q)$-gravity in cosmology
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Wormhole solutions in symmetric teleparallel gravity
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• Spherically symmetric configuration in $f(Q)$ gravity
• Traversable wormhole geometries in $f(Q)$ gravity
• 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
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Traversable wormhole solutions with non-exotic fluid in framework of $f(Q)$ gravity
• A study of anisotropic spheres in $f(Q)$ gravity with quintessence field
• A Killing Vector Treatment of Multiboundary Wormholes
• Non-commutative black holes of various genera in the connection formalism
• General constraints on Horndeski wormhole throats
• On the stability of thin-shell wormholes in noncommutative geometry
• A note on the stability of Morris-Thorne wormholes
• Thermodynamic Constraints on the Dark Sector

Cited by in corpus (14)

• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• Massless Dirac Perturbations of black holes in f(Q) gravity: quasinormal modes and weak deflection angle
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity