摘要
For a(1+3)-dimensional Lorentzian manifold(M,g),the general form of solutions of the Einstein field equations takes that of type I,II,or III.For type I,there is a known result in Gu(2007).In this paper,we try to find the necessary and sufficient conditions for the Lorentzian metric to take the form of types II and III,and we show how to construct the new coordinate system.
For a （1 ＋ 3）-dimensional Lorentzian manifold （M, g）, the general form of solutions of the Einstein field equations takes that of type I, II, or III. For type I, there is a known result in Gu （2007）. In this paper, we try to find the necessary and sufficient conditions for the Lorentzian metric to take the form of types II and III, and we show how to construct the new coordinate system.
