26 citations
6 papers
On interrelations between Sibgatullin's and Alekseev's approaches to the construction of exact solutions of the Einstein-Maxwell equations
F. J. Ernst, V. S. Manko, E. Ruiz
The integral equations involved in Alekseev's "monodromy transform" technique are shown to be simple combinations of Sibgatullin's integral equations and normalizing conditions. An…
Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes
F. J. Ernst, V. S. Manko, E. Ruiz
Two theorems are proved concerning how stationary axisymmetric electrovac spacetimes that are equatorially symmetric or equatorially antisymmetric can be characterized correctly in…
Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes. II
F. J. Ernst, V. S. Manko, E. Ruiz
In this second paper devoted to the equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes we show how two theorems proved in our previous paper (Ernst,…
The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution
I. Hauser, F. J. Ernst
A procedure is described for matching a given stationary axisymmetric perfect fluid solution to a not necessarily asymptotically flat vacuum exterior. Using data on the zero pressu…
Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation
I. Hauser, F. J. Ernst
We enunciate and prove here a generalization of Geroch's famous conjecture concerning analytic solutions of the elliptic Ernst equation. Our generalization is stated for solutions…
Generalized Symmetries of the Einstein Equations
Frederick J. Ernst, Isidore Hauser
We reformulate the symmetries of Gurses [Phys. Rev. Lett. 70, 367 (1993)] in a more abstract, more geometrical manner. The type (b) transformation of \gurses\ is related to a diffe…