Analysing wormhole geometry under dark energy influences in Finsler-Barthel-Kropina frameworks

This study investigates the geometry of wormholes within the framework of Finsler space, with a particular focus on Kropina spaces and the role of Barthel connections. Using the osculation technique in Kropina spaces, we formulate the Finsler-Barthel-Kropina metric, highlighting the influence of the...

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Bibliographic Details
Published in:European physical journal plus 2024-08, Vol.139 (8), p.748
Main Authors: Praveen, J., Narasimhamurthy, S. K.
Format: Article
Language:English
Subjects:
Anisotropy
Applied and Technical Physics
Astronomical models
Atomic
Complex Systems
Condensed Matter Physics
Dark energy
Double cusps
Equations of state
Fields (mathematics)
Geometry
Gravity
Impact analysis
Investigations
Mathematical and Computational Physics
Molecular
Nonlinear equations
Optical and Plasma Physics
Parameter identification
Physics
Physics and Astronomy
Regular Article
Shape functions
Spacetime
Tensors
Theoretical
Theory of relativity
Universe
Wormholes
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Summary:This study investigates the geometry of wormholes within the framework of Finsler space, with a particular focus on Kropina spaces and the role of Barthel connections. Using the osculation technique in Kropina spaces, we formulate the Finsler-Barthel-Kropina metric, highlighting the influence of the Finslerian vector field β in addition to the effects of Riemannian metric tensor α , through the parameter χ derived from the vector field β . Field equations are developed, and the impact of the χ parameter on wormhole geometry is analysed through different χ models by taking χ as the constant ( η ) and as the function of radial distance ( r ). The models reveal violations of energy conditions, suggesting the theoretical possibility of wormhole existence. In Model 1, both Case 1 and Case 2 demonstrate adherence to the necessary properties of shape functions and indicate energy condition violations within specific η ranges, pointing to the plausible formation of wormholes. Model 2, through its examination in Case 1 and Case 2, identifies violations of the Null Energy Condition (NEC) within a range of equation of state parameter ( ω ) values, implying wormhole formation possibly influenced by dark or phantom energy. Model 3, which applies linear state models across two cases, also records NEC violations within the domain of the ω , reinforcing the potential for wormhole existence. These findings underscore the crucial role of dark or phantom energy in the formation of wormhole structures within the Finsler-Barthel-Kropina geometry, offering new insights into essential cosmological theories and the fundamental nature of space–time in Finsler geometry background.
ISSN:2190-5444
DOI:10.1140/epjp/s13360-024-05523-2