Rearch Of The Cosmological Term And Universe Solutions In The Five-dimensional

This paper is based on the two means of increasing dimension and changing the gravitational constant,and it extends the calculation of the four-dimensional universe into the five-dimensional space,and get the five-dimensional Robertson-Walker universe in the metric.Under this metric,and gains the relationship of universe and quality by the constraints□φ=f(φ)andΛ=Λ(φ).Get the relationship of the universal items and the energy though the further comparison of the field equations of the five-dimensional and the four-dimensional ,and get the solutions of the universe dynamic equation and geodesic equation,and the paper divides five-dimensional Einstein tensor H abinto four-dimensional H abwhen k =0 ,±1,and the Einstein remainder amount related to the four-dimensional energy–momentum tensor and gets the equation of state of the perfect fluid.The full text is divided into five chapters:Chapter I,This chapter introduces the theory of space-time-mass and Brans-Dicke and universal model of the changing gravitational constant.Chapter II,This chapter makes use of the idea of increasing the dimension to extend the four-dimensional universe into the five-dimensional universe,and gets the five-dimensional Robertson-Walker universe in the metric,and gets the relationship between the universal items and the mass and energy.Chapter III ,This chapter gets the solutions of the universe dynamic equation and geodesic education when k =0 ,±1,under the condition of supposing the equal mass of the material field and scalar field.Chapter IV,This chapter makes use of dividing five-dimensional Einstein tensor H abinto four-dimensional H aband the Einstein remainder amount related to the four- dimensional energy–momentum tensor and gets the equation of state of the perfect fluid.Chapter V,conclusion.