https://doi.org/10.1140/epjp/s13360-024-05572-7
Regular Article
Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within f(Q) gravity
Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
b
pksahoo@hyderabad.bits-pilani.ac.in
Received:
4
June
2024
Accepted:
19
August
2024
Published online:
31
August
2024
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 
and noticed the influences of the global monopole’s parameter 
in the violation of energy conditions, especially null energy conditions. Further, for the nonlinear case, we observed that wormhole solutions could not exist for 
, 
, and 
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
