zbMATH — the first resource for mathematics

Symmetries of the stationary axisymmetric vacuum Einstein equations which preserve asymptotic flatness. (English) Zbl 0726.53055
This paper gives a unified treatment of the symmetry transformations of the stationary axially symmetry vacuum Einstein equations. The idea is to single out those transformations preserving asymptotic flatness, which take their simplest form in a new gauge, the modified HKX (Honselaers, Kinnersley, Xanthopoulos) gauge. Those transformations are used to generate new asymptotically flat spacetimes from a known one in HE (Hauser, Ernst) gauge.
53C80 Applications of global differential geometry to the sciences
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
Full Text: DOI