https://doi.org/10.1140/epjc/s10052-025-14833-3
Regular Article - Theoretical Physics
Rotating Casimir wormholes in f(R) gravity: a modified gravity extension of exotic spacetime models
School of Physics, Damghan University, 3671641167, Damghan, Iran
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Received:
22
July
2025
Accepted:
18
September
2025
Published online:
12
October
2025
Abstract
We investigate the construction and viability of rotating Casimir wormholes within the framework of f(R) gravity, focusing on models of the form 
. Building upon previous work in general relativity, where the Casimir effect serves as a physically motivated source of exotic matter, we explore how higher-order curvature corrections impact the energy conditions, stability, and traversability of rotating wormhole geometries. Using a perturbative expansion around small curvature deviations, we derive the modified field equations for a stationary, axisymmetric metric and analyze the interplay between the Casimir-induced stress-energy tensor, thermal corrections, and the effective geometric contributions from f(R) gravity. Our results show that the inclusion of curvature-induced terms can significantly reduce, and in some parameter regimes locally mitigate, the null energy condition (NEC) violation near the throat. We identify angular velocity profiles, particularly those with exponential damping, that are compatible with the modified gravitational dynamics and helping stabilize the wormhole configuration. A detailed linear perturbation analysis reveals that scalar modes associated with f(R) gravity can enhance the stability of the wormhole under fluctuations. Furthermore, we evaluate the behavior of the weak, strong, and dominant energy conditions and assess tidal forces experienced by travelers, confirming that these wormholes can be traversable under physically reasonable conditions. This study highlights the potential of modified gravity to support stable, traversable wormhole solutions with reduced reliance on exotic matter.
© The Author(s) 2025
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