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Five dimensional universe model with variable cosmological term Λ and a big bounce
Authors:G S Khadekar  Vaishali Kamdi  Anirudh Pradhan  Saeed Otarod
Institution:(1) Department of Mathematics, R.T.M. Nagpur University, Mahatma Jyotiba Phule Educational Campus, Amravati Road, Nagpur, 440 033, India;(2) Department of Mathematics, Hindu Post-graduate College, Zamania, 232 331, Ghazipur, India;(3) Department of Physics, Yasouj University, Yasouj, Iran
Abstract:We assume the four dimensional induced matter of the 5D Ricci flat bouncing cosmological solution contains a perfect fluid. The big bounce singularity of simple 5D cosmological model is studied with the cosmological term Λ=α ρ and Λ=β H 2 where α and β are constants and ρ and H are respectively energy density and Hubble parameter. This big bounce singularity is found to be an event horizon at which the scale factor and mass density of the universe are finite, while the pressure is infinite.
Keywords:Cosmology  Induced matter theory  Variable cosmological constant
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