二次引力理论中整体磁单极的引力效应

Gravitational effects of global monopoles in the quadratic gravitational theory

在二次引力理论L =-g(R+αR2 ) (α｜R｜ 1)中 ,研究整体磁单极的引力场 ,与爱因斯坦引力理论的结果相比较 ,其度规获得了一个相当于长程牛顿势的修正 ,表明在远处有一高阶的吸引力 .在此基础上探讨了整体磁单极的引力效应 ,即运动粒子在经过整体磁单极附近时的偏折 ,其偏转角表现为整体磁单极空间的亏损角、负有效质量和二次引力项 (耦合常数α)的效应 .

The gravitational field of global monopoles is studied in the quadratic gravitational theory, and is compared with the result in Einstein's theory. The metric acquires modification which corresponds to a long-range“Newtonian” potential, it implies at large distances an high-order attractive force. On the basis of this, gravitational effects of global monopoles are studied, and the deflected angle of a moving test particle by a global monopole is calculated. The result shows that the deflected angle is contributed from the deficit solid angle, the negative effective mass of a monopole and the coupling constant.