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Rearch of the Cosmological Term and Universe Solutions in the Five-Dimensional

Author: QinZhengHui
Tutor: ShaoLiang
School: Wuhan University of Science and Technology
Course: Applied Mathematics
Keywords: Brans-Dicke theory Kinetic equation Geodesic equation Ideal fluid equation of state
CLC: P159
Type: Master's thesis
Year: 2010
Downloads: 20
Quote: 0
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Abstract


Based on the increase in the number of dimensions and change the gravitational constant G two means , the method of calculation of the four-dimensional universe promotion to the five-dimensional space-time , five-dimensional universe Robertson-Walker metric in this metric constraints □ φ = f (φ) Λ = Λ (φ) cosmological term and quality relationship further through the five-dimensional and four-dimensional field equations compare the relationship between the cosmological term energy , and come to k = 0 , ± 1 universe power learning equation and the geodesic equation . Finally, the five-dimensional Einstein tensor decomposition into a four-dimensional Einstein tensor and the remaining amount of the energy - momentum tensor H ab ideal fluid equation of state . This paper is divided into five chapters: the first chapter describes the Brans-Dicke theory background , empty - the - the basic form of the qualitative theory and change the gravitational constant background in the second chapter , this chapter by increasing the dimension the four-dimensional universe is extended to the five-dimensional universe , the Robertson-Walker metric in the five-dimensional Yu . further calculations cosmological term quality and cosmological term energy relationship between third chapter , this chapter on the assumption that matter fields and BD scalar field is homogeneous case , k = 0, ± 1 straight space under the peaceful solution of the kinetic equation of the universe , the universe solution , went on to discuss the five-dimensional geodesic equation . the chapter uses the five-dimensional Einstein tensor decomposition into a four-dimensional Einstein tensor and the remaining amount related to the energy - momentum tensor H ab ideal fluid equation of state . fifth summarize .

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