• Perfect fluid Bianchi Type-I cosmological models with time varying 𝐺 and 𝛬

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      https://www.ias.ac.in/article/fulltext/pram/070/04/0565-0574

    • Keywords

       

      Bianchi Type-I Universe; varying 𝐺 and 𝛬; cosmology.

    • Abstract

       

      Bianchi Type-I cosmological models containing perfect fluid with time varying 𝐺 and 𝛬 have been presented. The solutions obtained represent an expansion scalar 𝜃 bearing a constant ratio to the anisotropy in the direction of space-like unit vector $\lambda^{i}$. Of the two models obtained, one has negative vacuum energy density, which decays numerically. In this model, we obtain $\Lambda \sim H^{2}$, $\Lambda \sim R_{44}/R$ and $\Lambda \sim T^{-2}$ (𝑇 is the cosmic time) which is in accordance with the main dynamical laws for the decay of 𝛬. The second model reduces to a static solution with repulsive gravity.

    • Author Affiliations

       

      J P Singh1 R K Tiwari2

      1. Department of Mathematical Sciences, A.P.S. University, Rewa 486 003, India
      2. Department of Mathematics, Govt. Model Science College, Rewa 486 001, India
    • Dates

       
  • Pramana – Journal of Physics | News

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