<p>The current paper examines cosmological model of Bianchi type-IX for a string cloud with variable cosmological constant Λ. The definitive model of the cosmos is derived by presuming that the shear scalar σ has a direct proportionate relationship with expansion. With m being a constant, we have the equation <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\text{A}={\text{B}}^{\text{m}}\)</EquationSource> </InlineEquation>. Additionally, we assume that <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\text{R}}^{3}\)</EquationSource> </InlineEquation>, where R is the scale factor, is inversely proportional to cosmological term Λ. This study shows that strings gradually vanish from the cosmos over time, which is in line with present astronomical data and offers an invaluable basis for examining how anisotropy evolved. Study also examines kinematical and physical aspects of the cosmological model.</p>

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String model of Bianchi-IX universe with a variable cosmological constant in general relativity

  • Manali Vijayvargiya,
  • Laxmi Poonia

摘要

The current paper examines cosmological model of Bianchi type-IX for a string cloud with variable cosmological constant Λ. The definitive model of the cosmos is derived by presuming that the shear scalar σ has a direct proportionate relationship with expansion. With m being a constant, we have the equation \(\text{A}={\text{B}}^{\text{m}}\) . Additionally, we assume that \({\text{R}}^{3}\) , where R is the scale factor, is inversely proportional to cosmological term Λ. This study shows that strings gradually vanish from the cosmos over time, which is in line with present astronomical data and offers an invaluable basis for examining how anisotropy evolved. Study also examines kinematical and physical aspects of the cosmological model.