（2，2）时空中的渐近无剪同余与Burgers方程
Asymptotically shearfree congruences in (2,2) spacetimes and Burgers' equation
摘要：
本文证明了（2，2）-特征时空中共形无穷远点（scri）上的任何渐近无剪同余都是由一对受迫无粘Burgers方程L_u+LL_x=σ（u，x，y，L）和M_u+MM_y= σ '（u，x，y，M）的解局部确定的，其中u，x，y是scri的Bondi坐标.函数σ和σ'自然地由在使scri叶状的α和β表面上的投影结构确定。
英文摘要：
The paper proves that any asymptotically shearfree congruence at the conformal infinity (scri) in a (2,2)-signature spacetime is determined locally by a solution to the pair of forced inviscid Burgers' equations L_u+LL_x=σ(u,x,y,L) and M_u+MM_y=σ'(u,x,y,M) where u,x,y are Bondi coordinates of scri. The functions σ and σ' are determined naturally by the projective structure on the α and β surfaces that foliate scri.
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