引力规范理论中的一类引力波方程

数学物理学报 ›› 1998, Vol. 18 ›› Issue (4): 407-414.

引力规范理论中的一类引力波方程

青心

烟台大学物理系山东烟台 264005

收稿日期:1997-01-10 修回日期:1997-05-16 出版日期:1998-12-26 发布日期:1998-12-26

A Class of Gravitational Waves Equation in Gravitational Gauge Theory

Qing Xin

Department of Physics, Yantai University, Yantai Shandong 264005

Received:1997-01-10 Revised:1997-05-16 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

摘要： 该文给出了Vierbein表述的局域Lorentz群引力规范理论中的一类引力波方程.证明了Bondi平面波方程和引力孤立波方程均被该类方程所包含,这些方程的解均为该类方程在一定条件下的特解.因而这些解是与量子场论协调一致的.

关键词: 引力规范理论, 对角度规, 引力波方程, Bondi平面波, 引力孤立波

Abstract: A class of gravitational wave equation in the Vierbein representation of the local Lorentz group gravitational gauge theory are obtained. Finally,it is also proved that the equation contains the Bondi's plane wave equation and gravitational soliton equation, and the Bondi's plane wave (Sandwich waves)and gravitational soliton are some special solutions of the equation. Therefore, these solutions are in agreement with the quantum field theory.

Key words: Gravitational gauge theory, Diagonal metric, Gravitational wave equation, Bondi's plane waves, Gravitational soliton

青心. 引力规范理论中的一类引力波方程[J]. 数学物理学报, 1998, 18(4): 407-414.

Qing Xin. A Class of Gravitational Waves Equation in Gravitational Gauge Theory[J]. Acta mathematica scientia,Series A, 1998, 18(4): 407-414.