{
  "abstract": "Inspired by the latest progress in the hunt of acceptable cosmological model of the universe, present paper is devoted to explore a mathematical model of the universe having initial anisotropy and with accelerated evolution that attains isotropic character. We have considered a widely accepted anisotropic Bianchi type I space-time geometry of the universe to explore a physically viable model. To find an acceptable model, we adopted a hyperbolic form for the scale factor as $ a(t)= \\left( sinh bt \\right)^{\\frac{1}{n}} $ and a relation $ Λ=Λ_0 \\frac{\\ddot{a}}{a}$. The model parameters are constrained by $ χ^2$ minimization techniques. Using 35 CC measurements we obtain present day expansion rate $H_0= 65.715 Km/S/Mpc$ and the value of $ n= 1.3024$. Further to estimate the local uncertainties of the best fit parameter, we calculate covariance from the Jacobin of the normalized residuals. The corresponding 1 $σ$ uncertainties are $ H_0=65.715 \\pm 2.392 Km/S/Mpc$ and $n= 1.3024 \\pm 0.0842$. The physical and dynamical behaviour of present model has been discussed by a graphical representation of cosmological parameters. The observational constraints on the expansion history are found to be consistent with a present accelerated phase and a transition from deceleration to acceleration at an intermediate redshift. The corresponding evolution of the derived cosmological quantities is also investigated within the adopted model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00030",
  "author_total": 4,
  "authors": [
    {
      "name": "S. Kotambkar"
    },
    {
      "name": "G. K. Goswami"
    },
    {
      "name": "R. Kelkar"
    },
    {
      "name": "G. P. Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cy682chryyxnq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00030",
  "fulltext_url": null,
  "id": "cy682chryyxnq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00030",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.gen-ph"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7206195235",
  "pdf_url": "https://arxiv.org/pdf/2609.00030",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cy682chryyxnq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.00030",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00030"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Cosmology and Gravitation Theories",
      "subfield": "cosmology"
    }
  ],
  "title": "Bianchi Type I Space -Time Geometry of the Universe with Time Dependent G and $Λ$ Within the Framework of General Relativity: Observational Aspects",
  "title_text": "Bianchi Type I Space -Time Geometry of the Universe with Time Dependent G and Λ Within the Framework of General Relativity: Observational Aspects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/cy682chryyxnq",
  "venue": "arXiv",
  "versions": []
}