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

Moreshwar Tayde; P. K. Sahoo

doi:10.1140/epjc/s10052-024-13002-2

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 643
https://doi.org/10.1140/epjc/s10052-024-13002-2

Regular Article - Theoretical Physics

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

Moreshwar Tayde and P. K. Sahoo^b

Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India

^b pksahoo@hyderabad.bits-pilani.ac.in

Received: 14 March 2024
Accepted: 8 June 2024
Published online: 25 June 2024

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 $r_{0}$ $$r_0$$ . We noted the influences of the global monopole’s parameter $η$ $\eta$ , the EoS parameter $ω$ $\omega$ , 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.

© The Author(s) 2024

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.