Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within f(Q) gravity

• Published in: European physical journal plus 2024-08, Vol.139 (8), p.774, Article 774
• Main Authors: Tayde, Moreshwar, Sahoo, P. K.
• Format: Article
• Language: English
• Subjects: Applied and Technical Physics; Astronomical models; Atomic; Complex Systems; Condensed Matter Physics; Dark energy; Dark matter; Embedding; Galactic halos; Geometry; Gravity; Investigations; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Phase transitions; Physics; Physics and Astronomy; Red shift; Regular Article; Shape functions; Spacetime; Symmetry; Theoretical; Theory of relativity; Universe; Wormholes
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-024-05572-7

This paper discusses the possibility of traversable wormholes in the galactic region supported by dark matter (DM) models and global monopole charge in the context of f ( Q ) gravity. To understand the features of the wormholes, we comprehensively studied wormhole solutions with various redshift functions under different f ( Q ) models. We obtained wormhole shape functions for pseudo-isothermal and Navarro–Frenk–White DM profiles under linear f ( Q ) gravity. In contrast, we employed an embedding class I approach for the nonlinear f ( Q ) models to investigate wormholes. We noticed that our obtained shape functions satisfy the flare-out conditions under an asymptotic background for each DM profile. Moreover, we checked the energy conditions at the wormhole throat with a radius r 0 and noticed the influences of the global monopole’s parameter η in the violation of energy conditions, especially null energy conditions. Further, for the nonlinear case, we observed that wormhole solutions could not exist for f ( Q ) = Q + m Q n , f ( Q ) = Q + β Q , and f ( Q ) = α 1 + β 1 log ( Q ) under embedding class I approach. Finally, we study the amount of exotic matter via the volume integral quantifier technique for the linear f ( Q ) model, and we confirm that a small amount of exotic matter is required to sustain the traversable wormholes.