Study of Higher Dimensional Bianchi Type-I (HDB T-1) Cosmological Model in Lyra's Geometry

  • Unique Paper ID: 185068
  • Volume: 12
  • Issue: 5
  • PageNo: 87-94
  • Abstract:
  • In this research paper, this study examines higher-dimensional Bianchi Type-I cosmological models with string fluids under the framework of general relativity. Although the original objective was to investigate these models within Lyra’s geometry, the available resources predominantly emphasize general relativistic approaches. By synthesizing two complementary investigations a locally rotationally symmetric Bianchi Type-I model with bulk viscosity and a massive string cosmological model in five dimensions we derive exact solutions, analyze key physical parameters, and discuss their dynamical evolution. The models consistently demonstrate a transition from an early decelerating, anisotropic Universe to a late accelerating, nearly isotropic one. Bulk viscosity is found to play a crucial role in damping initial anisotropies, while compactification of the extra dimension provides a natural explanation for higher-dimensional effects becoming unobservable at late times. The results satisfy standard energy conditions and remain in qualitative agreement with observational evidence, including supernovae and cosmic microwave background data. This synthesis highlights the relevance of higher-dimensional string cosmologies in explaining inflationary behavior and accelerated expansion, while also setting the stage for future investigations within Lyra’s geometry.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{185068,
        author = {Dr R. K. DUBEY and ANOOP KUMAR PANDEY and Harshraj Shukla},
        title = {Study of Higher Dimensional Bianchi Type-I (HDB T-1) Cosmological Model in Lyra's Geometry},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {5},
        pages = {87-94},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=185068},
        abstract = {In this research paper, this study examines higher-dimensional Bianchi Type-I cosmological models with string fluids under the framework of general relativity. Although the original objective was to investigate these models within Lyra’s geometry, the available resources predominantly emphasize general relativistic approaches. By synthesizing two complementary investigations a locally rotationally symmetric Bianchi Type-I model with bulk viscosity and a massive string cosmological model in five dimensions we derive exact solutions, analyze key physical parameters, and discuss their dynamical evolution. The models consistently demonstrate a transition from an early decelerating, anisotropic Universe to a late accelerating, nearly isotropic one. Bulk viscosity is found to play a crucial role in damping initial anisotropies, while compactification of the extra dimension provides a natural explanation for higher-dimensional effects becoming unobservable at late times. The results satisfy standard energy conditions and remain in qualitative agreement with observational evidence, including supernovae and cosmic microwave background data. This synthesis highlights the relevance of higher-dimensional string cosmologies in explaining inflationary behavior and accelerated expansion, while also setting the stage for future investigations within Lyra’s geometry.},
        keywords = {Higher-dimensional Bianchi, rotationally symmetric Bianchi, Lyra’s geometry, Cosmological models.},
        month = {September},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 12
  • Issue: 5
  • PageNo: 87-94

Study of Higher Dimensional Bianchi Type-I (HDB T-1) Cosmological Model in Lyra's Geometry

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