https://doi.org/10.1140/epjc/s10052-025-14177-y
Regular Article - Theoretical Physics
A study on the geometric configuration and stability of wormholes in symmetric teleparallel gravity influenced by dark energy and rotational velocity profiles
1
Department of Mathematics, Central University of Haryana, Jant-Pali, 123029, Mahendergarh, Haryana, India
2
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, 616, Nizwa, Sultanate of Oman
3
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
4
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
5
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia
6
Department of Physics, College of Science, University of Bisha, 61922, Bisha, Saudi Arabia
a
sunil@unizwa.edu.om
b
abdelghani.errehymy@gmail.com
c
amabdelaty@ub.edu.sa
Received:
12
January
2025
Accepted:
10
April
2025
Published online:
2
May
2025
This study explores the characteristics of wormhole geometries within the framework of symmetric teleparallel gravity, specifically 
gravity. By integrating holographic and mixed dark energy density profiles, we derive exact solutions for wormholes. The analysis focuses on the geometrical aspects of these wormholes, employing rotational velocity to formulate the redshift function and using dark energy density profiles to establish the shape function. By selecting specific parameter values, we show that the derived wormhole solutions meet the flare-out condition within an asymptotic background. We also evaluate the energy conditions, with particular emphasis on the null energy condition at the wormhole throat. Our findings indicate that the coupling constant 
significantly influences the violation of energy conditions, especially the null energy condition, accompanied by graphical representations. Additionally, the research examines key features of the wormholes, such as complexity factor, anisotropy, exoticity, and embedding diagrams.
The original online version of this article was revised: In this article the affiliation details for Author Abdel-Haleem Abdel-Aty were incorrectly given as ‘Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia’ but should have been ‘Department of Physics, College of Science, University of Bisha, Bisha 61922, Saudi Arabia’.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-025-14284-w.
© The Author(s) 2025
corrected publication 2025
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