https://doi.org/10.1140/epjc/s10052-025-14485-3
Regular Article - Theoretical Physics
Perturbative analysis of Casimir wormholes with generalized uncertainty principle corrections in matter-geometry 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, Gauhati University, 781014, Guwahati, Assam, India
3
Department of Mathematics, B. Borooah College, Ulubari, 781007, Guwahati, Assam, India
4
Department of Mathematics, Birla Institute of Technology and Science, Pilani, Hyderabad Campus, Jawahar Nagar, Kapra Mandal, 500078, Medchal District, Telangana, India
a zinnathassan980@gmail.com, zinnathassan@maths.sastra.ac.in
Received:
15
May
2025
Accepted:
30
June
2025
Published online:
8
July
2025
In this paper, we investigate traversable wormhole solutions supported by Casimir energy under the influence of generalized uncertainty principle corrections within the framework of the curvature-matter coupled 
theory. We thoroughly analyze the traversability conditions and derive constraints on the wormhole throat radius and model parameters necessary to ensure smooth and physically viable passage through the wormhole. The dynamical stability of these configurations is evaluated using the quasinormal mode (QNM) approach. Specifically, we compute the QNMs corresponding to scalar, electromagnetic, and Dirac perturbations by employing the third-order Wentzel–Kramers–Brillouin (WKB) approximation method. Furthermore, we examine the light deflection angle associated with the wormhole geometry, providing additional insights into its observational features. Our results suggest that, under appropriate conditions, Casimir wormholes can theoretically exist as stable and traversable structures within this modified gravity framework.
© The Author(s) 2025
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