Eur. Phys. J. C (2025) 85: 930
https://doi.org/10.1140/epjc/s10052-025-14665-1

Regular Article - Theoretical Physics

Probing stability of dark matter sustained wormholes in matter-curvature coupled gravity

¹ Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed University, Trichy-Tanjore Road, Thirumalaisamudram, 613401, Thanjavur, Tamil Nadu, India
² Department of Mathematics, Birla Institute of Technology and Science, Pilani, Hyderabad Campus, Jawahar Nagar, Kapra Mandal, 500078, Medchal District, Telangana, India

^a This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 8 July 2025
Accepted: 21 August 2025
Published online: 1 September 2025

Abstract

We investigate traversable wormhole solutions sustained by dark matter in the context of curvature-matter coupled gravity, specifically the $f(R,{\mathcal{L}}_m,T)$ theory. By analyzing the traversability criteria, we identify constraints on the model parameters that ensure physically viable, asymptotically flat wormhole geometries. Our results show that while small values of the dark matter density ${\rho }_s$ preserve asymptotic flatness, larger values of the coupling parameter $\beta$ may violate the flare-out condition. Furthermore, we find that the null energy condition is violated near the throat $r=r_0$, indicating the effective role of the modified gravity terms as a source of exotic matter. To examine the stability and physical possibility of the solutions, we perform a comprehensive analysis involving gravitational lensing, the complexity factor, the anisotropy parameter, active gravitational mass, total gravitational energy, and the volume integral quantifier. Our findings demonstrate that stable, traversable wormholes can emerge within specific parameter regimes in this framework with minimal exotic matter, offering new insights into the interplay between dark matter and modified gravity.