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Five-Dimensional Cosmological Model with the Kaluza-Klein Metric and Related Research

Author: LiMiao
Tutor: ShaoLiang
School: Wuhan University of Science and Technology
Course: Applied Mathematics
Keywords: Kaluza-Klein (K-K) Theory Empty - when - transfer theory Wheeler-Dewitt (W-D) equation Gravitational constant G Cosmological constant Λ
CLC: O412.1
Type: Master's thesis
Year: 2010
Downloads: 26
Quote: 0
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Abstract


This paper is the quantum of the Wheeler-Dewitt (WD) equation of separation of variables WD equation conduct of solving , Kaluza-Klein (KK) theory of the four-dimensional space-time promotion to the five-dimensional spacetime , in KK degree of regulation basis of two five-dimensional model of the universe does not consider the gravitational constant and the cosmological constant in Einstein field equations solving combined field equations in the space-time , and draw some conclusions for the expansion of the universe , and finally in the same metric discussed under the five-dimensional model of the universe with variable gravitational constant and the cosmological constant , and draw some of the properties of the gravitational constant and the cosmological constant is change over time . text is divided into five chapters : the first chapter introduces the traditional KK theory and the theory of the variable gravitational theories Brans-Dicke (BD) , and a brief introduction to the basic idea of the theory of Wesson et al proposed five-dimensional space - time - quality second chapter is given in the four-dimensional of R R2 gravitation theory WD equation , separation of variables obtained WD particular solution of the equation . third chapter by introducing the KK metric of a simple five-dimensional model of the universe in the vacuum and in the air - when - when the equation of state in the qualitative theory solving and time related to the five-dimensional model of the universe , and field equation analysis, summary , and focuses on the expansion of the universe . fourth chapter the KK metric variable gravitational constant and the cosmological constant five -dimensional model of the universe , solving , and solution analysis , and draw some conclusions in the gravitational constant G and the cosmological constant Λ change over time . fifth chapter summarizes .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Theory of relativity, field theory > Relativity
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