五维Brans-Dicke引力理论的宇宙膨胀

Universe inflation of five dimensional Brans-Dicke gravitational theory

将Brans -Dicke(BD)引力理论扩展到五维Kaluza -Klein时空 ,在物质场和BD标量场是空间均匀分布的假设条件下 ,提出五维时空的Robertson -Walker度规 ,由五维BD标 -张量引力场方程出发 ,导出宇宙动力学方程 ,建立以五维BD引力理论为基础的宇宙模型 ,求得标度因子为时间t的幂函数形式的宇宙膨胀解 。

The Brans-Dicke (BD) gravitational theory is expanded to five dimensional Kaluza-Klein space-time, and Robertson-Walker metric in the five dimensional space-time is proposed based on the supposition that matter field and Brans-Dicke scalar field are homogeneous. Starting from five dimensional Brans-Dicke scalar-tensor field equations of gravitation, universe dynamic equations are derived. Universe model based on five-dimensional BD gravitational theory is established, and the universe inflation solution of that the scalar factor is a certain of power function of t is found. Universe inflation in the radiation and matter-dominated eras is discussed.