Rotational influence on fermions within negative curvature wormholes

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 me...

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Bibliographic Details
Published in:European physical journal plus 2024-08, Vol.139 (8), p.721, Article 721
Main Authors: Guvendi, Abdullah, Gurtas Dogan, Semra, Vitória, R. L. L.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Astrophysics
Atomic
Complex Systems
Condensed Matter Physics
Curvature
Dimensional analysis
Dirac equation
Exact solutions
Fermions
Graphene
Impact analysis
Investigations
Mathematical analysis
Mathematical and Computational Physics
Minkowski space
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Protons
Regular Article
Rotation
Spacetime
Theoretical
Theory of relativity
Wave equations
Wormholes
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Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-024-05527-y