https://doi.org/10.1140/epjp/s13360-024-05527-y
Regular Article
Rotational influence on fermions within negative curvature wormholes
1
Department of Basic Sciences, Erzurum Technical University, 25050, Erzurum, Turkey
2
Department of Medical Imaging Techniques, Hakkari University, 30000, Hakkari, Turkey
3
Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa, Guamá, 66075-110, Belém, PA, Brazil
b
semragurtasdogan@hakkari.edu.tr
Received:
20
March
2024
Accepted:
31
July
2024
Published online:
12
August
2024
In this research, we examine relativistic fermions within the rotating frame of negative curvature wormholes. Initially, as is typical in our context, we introduce the wormholes by embedding a curved surface into a higher-dimensional flat Minkowski spacetime. Subsequently, we derive the spacetime metric that characterizes the rotating frame of these wormholes. We then investigate analytical solutions of the generalized Dirac equation within this framework. Through exploring a second-order non-perturbative wave equation, we seek exact solutions for fermions within the rotating frame of hyperbolic and elliptic wormholes, also known as negative curvature wormholes. Our analysis provides closed-form energy expressions, and we generalize our findings to Weyl fermions. By considering the impact of the rotating frame and curvature radius of wormholes, we discuss how these factors affect the evolution of fermionic fields, offering valuable insights into their behavior.
© The Author(s) 2024
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