Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions
Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions
复制标题
静止轴对称真空爱因斯坦方程的对称性和新的精确解族
DOI：
10.1063/1.525735
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发表时间：
1983
影响因子：
1.3
通讯作者：
Yoshimasa Nakamura
中科院分区：
文献类型：
--
作者：
Yoshimasa Nakamura
本文给出了稳态轴对称真空爱因斯坦方程的一族新的精确解。内部对称性，SL（2，R）旋转，和参数化的对偶性相结合，构造一个Backlund变换。对于场方程的特殊解，可以积分Backlund变换，递归地生成解的级数。本文还讨论了产生非局部对称的逆散射公式的Riemann-Hilbert问题。
A new family of exact solutions of the stationary axially symmetric vacuum Einstein equations is presented. The internal symmetries, SL(2,R) rotation, and duality of parametrization, are combined to construct a Backlund transformation. For the special ansatz of the field equations, the Backlund transformation can be integrated and the hierarchy of ansatz is generated, recursively. The Riemann–Hilbert problem is also discussed for the inverse scattering formulas generating nonlocal symmetries.