The Open Astronomy Journal

2014, 7 : 7-11
Published online 2014 June 13. DOI: 10.2174/1874381101407010007
Publisher ID: TOAAJ-7-7

Big Rip Singularity in 5D Viscous Cosmology

G.S. Khadekar and N.V. Gharad
Department of Mathematics, Rashtrasant Tukadoji Maharaj Nagpur University, Mahatma Jyotiba Phule Educational Campus, Amravati Road, Nagpur-440033, India.

ABSTRACT

Dark energy of phantom or quintessence nature with an equation of state parameter ω almost equal to -1 often leads to a finite future singularity. The singularities in the dark energy universe, by assuming bulk viscosity in the framework of Kaluza-Klein theory of gravitation have been discussed. Particularly, it is proved, that the physically natural assumption of letting the bulk viscosity be proportional to the scalar expansion in a spatially 5D FRW universe, can derive the fluid into the phantom region (ω < -1), even if it lies in the quintessence region (ω >-1) in the non viscous case. It is also shown that influence of the viscosity term acts to shorten the singularity time but it does not change the nature of singularity in the framework of higher dimensional space time.

Keywords:

Big Rip, dark energy, future singularity.