1993/03/17 by Isidore Hauser, Frederick J. Ernst, Hauser, Isidore +1
Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #Quantum Mechanics and Non-Hermitian Physics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9303021
65, FJE-93-001
openalex publication_date 1993/03/17 · arxiv created 1993/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 domain of all Ernst potentials for colliding plane gravitational wave pairs. The aim of the program is to construct and apply a non-trivial extension of the group of Kinnersley-Chitre transformations. This is to be done by employing the formalism of a homogeneous Hilbert problem. In this first paper of a series, the aforementioned program is completely carried out for the collinear polarization case.