有切无旋CRFPEF流体时空(Ⅰ)

Time-Space of CRFPEF Fluids with Shear and Nontwisting

本文求出了共形标量因子梯度与流体四速度垂直时的有切无旋CRFPEF流体Einstein-Maxwell方程严格解,指出有两种可能类型:(1)共形平直解;(2)与在类时超曲面上具有三维运动群的BianchiVI_0型真空解共形.在电磁场为0的特殊情况下,本结果为有切无旋Van den Bergh解.

The exact solutions of Einstein-Maxwell equations of CRFPEF fluids with shear and nontwisting when the gradient of the Conformally sclar field φ is orthogonal to the fluid velocity(Dφ+△φ=0)are achieved in this paper.It is indicated there arise two kinds of solutions: (l)solution is Conformally flat;-and(2)the solutions are Conformally related to a particular vac-uum solution admitting a three-dimensional group of motion of of Bianchi type VI_0 on a timelike hypersurface.The solution of Conformally Ricci-flat perfect fluids with shear and nontwisting and with Dφ+△φ=0 given by Van den bergh is a special case of this paper.