Non-Analytic Extension of the Kinnersley-Chitre Group for Colliding Plane Gravitational Waves. I

Details Non-Analytic Extension of the Kinnersley-Chitre Group for Colliding Plane Gravitational Waves. I Non-Analytic Extension of the Kinnersley-Chitre Group for Colliding Plane Gravitational Waves. I

1993-03-17

arxiv.org/abs/gr-qc/9303021v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

65, FJE-93-001

Scientific paper

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.

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