Brans—Dicke引力论的宇宙波函数

THE WAVE FUNCTION OF THE UNIVERSE WITH THE BRANS-DICKE THEORY OF GRAVITATION

在小超空间近似下建立Brans—Dicke引力论的Wheeler—Deoill方程。借助Vilenkin的边界条件,得到了宇宙波函数的WKB近似解,它代表一个始于经典——量子分界面的膨胀宇宙,并发现宇宙波函数出现峰值处有效宇宙学常数很小。

This study constructs the Wheeler - DeWitt equation for the Brans -Dick theory of gravitation in the minisuperspace approximation. With the help of boundary condition proposal of Vilenkin,the wave function of the universe is obtained under the WKB approximation,it represents an expanding universe which begins on the classical -quantum boundary,it piles up when the effective cosmological constant is very small.