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

Pramana

J P Singh1²  R K Tiwari2¹ 

[1] Department of Mathematics, Govt. Model Science College, Rewa 486 001, India$$;Department of Mathematical Sciences, A.P.S. University, Rewa 486 003, India$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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 𝜆𝑖. Of the two models obtained, one has negative vacuum energy density, which decays numerically. In this model, we obtain 𝛬 ∼ 𝐻2, 𝛬 ∼ 𝑅44/𝑅 and 𝛬 ∼ 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.

【 授权许可】

Unknown