引力场的高斯定理及应用  

Gauss theorem of gravitational field and its application

作　　者：魏益焕[1] WEI Yihuan(College of Mathematics and Physics, Bohai University, Jinzhou 121013, China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2018年第2期139-143,共5页Journal of Bohai University:Natural Science Edition

基　　金：渤海大学教改课题(No:BDJG-14-YD-C-018);辽宁省教育厅项目(No:LZ2016004)

摘　　要：通过考虑引力子的自旋,重新给出了引力场的高斯定理.由高斯定理出发,得到了球对称引力场的引力势和引力势能的计算式.对于物质密度为E指数的情况,计算了球对称天体的引力势和引力势能.在特殊情况下,研究了球对称天体的质量和引力势能与天体半径的关系.By considering the spin of the graviton,we restatement the Gauss theorem for gravitational fields.From the Gauss theorem,the gravitational potential and gravitational potential energy of spherical symmetric gravitational field can be calculated. For the matter density described by an exponential function,the gravitational potential energy of a spherical symmetric celestial body is given. In the special case,the relations between the mass and gravitational potential energy to the radius of spherically symmetric celestial bodies are studied.

关 键 词：高斯定理 球对称引力场 引力势能 

分 类 号：O4[理学—物理] G642.0[文化科学—高等教育学]