The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry
Abstract This paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the incorporation of anisotropic charact...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13541-8 |
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| author | B. R. Yashwanth S. K. Narasimhamurthy J. Praveen Manjunath Malligawad |
| author_facet | B. R. Yashwanth S. K. Narasimhamurthy J. Praveen Manjunath Malligawad |
| author_sort | B. R. Yashwanth |
| collection | DOAJ |
| description | Abstract This paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the incorporation of anisotropic characteristics, making it a valuable tool in exploring cosmological phenomena. By employing osculating Riemannian space approaches, we develop wormhole models under non-commutative geometry and power-law energy density distributions. We analyze the role of the Finsler parameter $$\eta $$ η while evaluating the energy conditions in each model. The specific models developed here with Finsler geometry offer insights into the physical viability of wormholes in this context, potentially resolving some of the longstanding issues in wormhole theory. These findings suggest that Finsler geometry, combined with osculating Barthel–Randers geometry, provides a promising avenue for the construction of stable and physically plausible wormhole structures, The results are validated through analytical solutions and 3-D visualizations, thus contributing to our broader understanding of gravitational physics and spacetime geometry. |
| format | Article |
| id | doaj-art-b8b72d23ee4740eb956acafe1f4aef40 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-b8b72d23ee4740eb956acafe1f4aef402025-02-02T12:38:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211610.1140/epjc/s10052-024-13541-8The influence of density models on wormhole formation in Finsler–Barthel–Randers geometryB. R. Yashwanth0S. K. Narasimhamurthy1J. Praveen2Manjunath Malligawad3Department of PG Studies and Research in Mathematics, Kuvempu UniversityDepartment of PG Studies and Research in Mathematics, Kuvempu UniversityDepartment of PG Studies and Research in Mathematics, Kuvempu UniversityDepartment of PG Studies and Research in Mathematics, Kuvempu UniversityAbstract This paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the incorporation of anisotropic characteristics, making it a valuable tool in exploring cosmological phenomena. By employing osculating Riemannian space approaches, we develop wormhole models under non-commutative geometry and power-law energy density distributions. We analyze the role of the Finsler parameter $$\eta $$ η while evaluating the energy conditions in each model. The specific models developed here with Finsler geometry offer insights into the physical viability of wormholes in this context, potentially resolving some of the longstanding issues in wormhole theory. These findings suggest that Finsler geometry, combined with osculating Barthel–Randers geometry, provides a promising avenue for the construction of stable and physically plausible wormhole structures, The results are validated through analytical solutions and 3-D visualizations, thus contributing to our broader understanding of gravitational physics and spacetime geometry.https://doi.org/10.1140/epjc/s10052-024-13541-8 |
| spellingShingle | B. R. Yashwanth S. K. Narasimhamurthy J. Praveen Manjunath Malligawad The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry European Physical Journal C: Particles and Fields |
| title | The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry |
| title_full | The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry |
| title_fullStr | The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry |
| title_full_unstemmed | The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry |
| title_short | The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry |
| title_sort | influence of density models on wormhole formation in finsler barthel randers geometry |
| url | https://doi.org/10.1140/epjc/s10052-024-13541-8 |
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