26 citations · 99 across the 11 of their papers we have counts for
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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…
Group structure of the solution manifold of the hyperbolic Ernst equation --- general study of the subject and detailed elaboration of mathematical proofs
I. Hauser, F. J. Ernst
This is not for the faint of heart, for we here provide the full details concerning the statement and proof of a generalized Geroch conjecture involving not the usual analytic func…
Fully Electrified Neugebauer Spacetimes
Frederick J. Ernst
Generalizing a method presented in an earlier paper, we express the complex potentials E and Phi of all stationary axisymmetric electrovac spacetimes that correspond to axis data o…
Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis
Frederick J. Ernst
We express the complex potential E and the metrical fields omega and gamma of all stationary axisymmetric vacuum spacetimes that result from the application of two successive quadr…
Gurses' Type (b) Transformations are Neighborhood-Isometries
I. Hauser, F. J. Ernst
Following an idea close to one given by C. G. Torre (private communication), we prove that Riemannian spaces (M,g) and (M,h) that are related by a Gurses type (b) transformation [M…
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…
Non-Analytic Extension of the Kinnersley-Chitre Group for Colliding Plane Gravitational Waves. I
Isidore Hauser, Frederick J. Ernst
A program is outlined concerning the set of all solutions of the hyperbolic Ernst equation on a two-dimensional manifold whose underlying topological space is the same as the domai…