中文摘要：

计算了带宇宙常数项的爱因斯坦转盘问题,为了计算λ=0,ω=0,ω≠0情况下的度规,利用了Papapetron轴对称度规,计算结果展示宇宙常数项的爱因斯坦转盘的度规是λ与ω的耦合函数,并且当λ≠0,ω≠0时,转变到爱因斯坦转盘的度规,当λ=0,ω=0时转变到Minkowski度规.

英文摘要：

The Einstein＇s equations of gravitational field have been used to calculate the metric of Einstein＇s Disc with the existence of cosmological constant （λ≠ 0）, which changes the space-time structure. In order to calculate it, we used Papapetron axially symmetric metric. And we supposed λ≠ 0 and ω≠ 0.Our results show that it is coupling function of λ and ω that metric of Einstein＇s Disc with a Cosmological Constant, and the metric becomes the known Einstein＇s Disc metric when λ = 0,and becomes Minkowski metric when λ = 0 and ω = 0.