Higher Dimensional Cosmologi Cal Model of the Universe With Variable Eqution of State Parameter in the Presence of G and Λ

Abstract

In this paper we have obtained the exact solution of the Einstein field equations by using global equation of state of the form p = 1 3 ρφ, where φ is a function of the scale factor R for Zeldovich fluid satisfying G = G 0 (R R0) m. We also studied the two variable Λ model, viz. Λ ∼ (Ṙ R) 2 and Λ ∼ ρ under the assumption that the equation of state parameter ω is time-dependent i.e. ω = ω(t) in the framework of Kaluza-Klein theory of gravitation.

Anisotropic cloud string cosmological model with five-dimensional kaluza-klein space-time

“…Naidu et al (2013) and Reddy and Lakshmi (2014) have explored the possibility of higher dimensional space-time in the field of cosmology. Jain and Shyamsunder (2015), , Sharif and Khanum (2011), Venkateswarlu and Kumar (2006), Khadekar and Vaishali (2010), Samanta and Dhal (2013), Raut et al (2015) have discussed five-dimensional KK cosmological models with different matters. Adhav et al (2008) and Yilmaz (2006) have investigated KK cosmic solutions are examined in higher dimensions for quark matter along with string cloud and domain walls in the context of general relativity.…”