Dark Energy with Generalized Equation of State in Bianchi Type-I Cosmological Model |
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Authors: | T Singh R Chaubey |
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Institution: | 1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India 2. DST-Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi, India
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Abstract: | Dark energy with the usually used equation of state p=γρ, where γ=const<0 is hydrodynamically unstable. To overcome this drawback we consider the cosmology of a perfect fluid with a linear equation
of state of a more general form p=α(ρ−ρ
0), where the constants α and ρ
0 are free parameters. The anisotropic Bianchi type-I cosmological model filled with dark energy has been considered. A generalized
equation of state for the dark energy component of the universe has been used. The exact solutions to the corresponding Einstein
field equations and the statefinder diagnostic pair i.e. {r,s} parameters have been obtained in three interesting cases (i) when ρ
Λ>0 and A>0 (ii) when ρ
Λ>0 and A<0 and (iii) when ρ
Λ<0 and A>0 at the singularities i.e. t→0 and t→±∞. |
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Keywords: | |
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