史瓦西度规奇性研究

Study on the Singularity of Schwarzschild Metric

从时空度规的角度对广义相对论中存在的奇性问题进行了研究,考察了广义相对论中著名的史瓦西(Schwarschild)度规中的奇性。这种奇性反映了广义相对论理论上的某种不完善,并不一定是客观世界所固有的,时空度规中有些点处的奇性问题是由于时空坐标选取不当,因此带来了虚假的奇性,只要引入适当的时空变换,即可消除这种奇性。给出了利用3种不同的时空坐标变换来消除广义相对论在r=rs处的奇性的方法,同时对3种不同时空度规下的光子的坐标速度问题进行了讨论。

According to the time-space metric, the singularity problems in the general relativity are studied. The famous singularity of Schwarzschild metric in the general relativity is investigated. Pointing out that the singularity revealed the defects of the general relativity in theory and was not the intrinsic property in the nature world. Some singularity problems in the time-space metric are due to the incorrect selection of time-space coordinates, and therefore get the false singularity. Only introducing appropriate time-space transformation, one can remove the singularity. In the general relativity, the methods of eliminating the singularity at r=r_s through the three different time-space coordinate transformation are given out. At the same time,the coordinate speeds of photon under three different time-space metrics were discussed.