Cosmological Application in Kaluza-Klein Theory: Generalized Sudden Singularity. Issue 2 (3rd July 2019)

• Record Type: Journal Article
• Authors: Wanjari, Rupali; Khadekar, G. S.
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 17:Issue 2(2019)
• Page Start: 205
• Page End: 220
• Publication Date: 2019-07-03
• Subjects: 54H20; Kaluza-Klein Theory -- Taylor's Expansion of cosmological function -- Generalized Sudden Singularity; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2019.1668147
• Languages: English
• ISSNs: 1726-037X

Abstract

Abstract: In this paper, we considered the cosmological application by taking G and Λ to be a function of t in Kaluza-Klein cosmology. We use the Taylor's expansion of cosmological function Λ( t ), up to the first order of time t and evaluated the cosmological parameters by using the modified equation of state of the form p = −ρ − f ( ρ ), where f ( ρ ) = αρ . The analytical properties of R ( t ), ρ ( t ) and H ( t ) are investigated and it is observed that from the solutions of the field equations, the generalized sudden singularity occurs at a finite time in the framework of Kaluza-Klein theory of gravitation.