Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity

Abstract

This study explores the potential existence of traversable wormholes influenced by a global monopole charge within the $f(Q)$ gravity framework. To elucidate the characteristics of these wormholes, we conducted a comprehensive analysis of wormhole solutions employing three different forms of redshift function under a linear $f(Q)$ model. Wormhole shape functions were derived for barotropic, anisotropic, and isotropic Equations of State (EoS) cases. However, in the isotropic EoS case, the calculated shape function failed to satisfy the asymptotic flatness condition. Additionally, we observed that our obtained shape functions adhered to the flaring-out conditions under an asymptotic background for the remaining EoS cases. Furthermore, we examined the energy conditions at the wormhole throat with a radius $r_0$. We noted the influences of the global monopole's parameter $\eta$, the EoS parameter $\omega$, and $n$ in violating energy conditions, particularly the null energy conditions. Finally, we conducted a stability analysis utilizing the Tolman-Oppenheimer-Volkov (TOV) equation and found that our obtained wormhole solution is stable.

arXiv commentEPJ C published version

References in corpus (46)

• Coincident General Relativity
• Observational constraints of $f(Q)$ gravity
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Topological Inflation
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Cosmic Structure Formation with Topological Defects
• Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Traversable wormhole geometries in $f(Q)$ gravity
• Wormholes in a viable f(T) gravity
• Wormholes without exotic matter in Einstein-Cartan theory
• Physical Characteristics and Maximum Allowable Mass of Hybrid Star in the Context of $f(Q)$ Gravity
• Wormholes, the weak energy condition, and scalar-tensor gravity
• Higher-dimensional evolving wormholes satisfying the null energy condition
• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• Wormhole solutions in $f(R,L_m)$ gravity
• Wormholes and Flux Tubes in 5D Kaluza-Klein Theory
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Wormhole with varying cosmological constant
• The gravitational field of a global monopole
• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Quasi-cosmological Traversable Wormholes in $f(R)$ Gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Influence of three parameters on maximum mass and stability of strange star under linear $f(Q)-$action
• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Buchdahl quark stars within $f(Q)$ theory
• Wormhole geometries supported by three-form fields
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Charged Wormhole Solutions in Einstein-Cartan gravity
• Linear stability analysis of a rotating thin-shell wormhole
• Large Scale Structure Formation with Global Topological Defects. A new Formalism and its implementation by numerical simulations
• Wormhole solutions in $f(Q,T)$ gravity with a radial dependent B parameter
• Static wormholes on the brane inspired by Kaluza-Klein gravity
• Study of charged gravastar model in $f(\mathcal{Q})$ gravity
• Impact of dark matter galactic halo models on wormhole geometry within $f(Q,T)$ gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• A topologically charged four-dimensional wormhole and the energy conditions
• Kaluza-Klein wormholes with the compactified fifth dimension
• Monopole and electrically charged dust thin shells in general relativity: Classical and quantum comparison of hollow and atomlike configurations
• Cosmic Textures and Global Monopoles as Seeds for Super-Massive Black Holes

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• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Influence of GUP corrected Casimir energy on zero tidal force wormholes in modified teleparallel gravity with matter coupling
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Morris-Thorne-type wormhole with global monopole charge and the energy conditions