Open AccessTime Dependence of Various Cosmological Parameters in the Framework of Kaluza-Klein Space-Time
Author(s) -
Sudipto Roy,
Anirban Sarkar,
Parthadeb Ghosh
Publication year - 2019
Publication title -
international journal of scientific research in science and technology
Language(s) - English
Resource type - Journals
eISSN - 2395-602X
pISSN - 2395-6011
DOI - 10.32628/ijsrst196645
Subject(s) - physics , deceleration parameter , cosmological constant , metric expansion of space , equation of state , dark energy , field (mathematics) , universe , einstein field equations , constant (computer programming) , gravitation , parameter space , gravitational constant , metric (unit) , kaluza–klein theory , cosmology , classical mechanics , astrophysics , thermodynamics , statistics , operations management , mathematics , pure mathematics , computer science , economics , programming language
A theoretical model, regarding the time dependence of several cosmological parameters, has been constructed in the present study, in the framework of Kaluza-Klein theory, using its field equations for a spatially flat metric. Time dependent empirical expressions of the cosmological constant and the equation of state (EoS) parameter have been substituted into the field equations to determine the time dependence of various cosmological parameters. Time variations of these parameters have been shown graphically. The cosmological features obtained from this model are found to be in agreement with the observed characteristics of the accelerating universe. Interestingly, the signature flipping of the deceleration parameter, from positive to negative, is predicted by this model, indicating a transformation of the universe from a state of decelerated expansion to accelerated expansion, as obtained from astrophysical observations. Time dependence of the gravitational constant (G), energy density (?), cosmological constant (?) and the EoS parameter (?) have been determined and depicted graphically in the present study.