旋转质量的内部引力场

The Gravitational Field within Rotating Mass

利用复延拓方法［１］，从Ｓｃｈｗａｒｚｓｃｈｉｌｄ内部解出发，获得了匀角速转动的流体内部引力场度规．所获得的度规在边界处和旋转质量的外部度规（Ｋｅｒｒ度规）相连接．当旋转参量α＝０时，此解恰好退化为Ｓｃｈｗａｒｚｓｃｈｉｌｄ内部解．

in this paper, we derive the inner metric of uniformly rotating frictionless fluid from schwarzschild interior solution by method of complex coordinates displacement[1].The metric is consistent with Kerr metric on the boundary, it degenerates to schwarzschild interior solution when rotatory parameter a=0.