Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation

DOI10.1023/A:1002701301339zbMath0984.83008arXivgr-qc/0002049OpenAlexW1505212520WikidataQ122912413 ScholiaQ122912413MaRDI QIDQ5943137

Isidore Hauser, F. J. Ernst

Publication date: 7 May 2002

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0002049

zbMATH Keywords

Ernst equationgeneral relativityGeroch conjectureGeroch groupKinnersley-Chitre realization of Geroch groupWeyl canonical coordinates

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items

Integrability of generalized (Matrix) Ernst equations in string theory, Monodromy-data parameterization of spaces of local solutions of integrable reductions of Einstein's field equations, The asymptotic safety scenario in quantum gravity, A continuous Riemann–Hilbert problem for colliding plane gravitational waves, On the classical and quantum Geroch group, Theorems on existence and global dynamics for the Einstein equations, Theorems on existence and global dynamics for the Einstein equations, The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution

Cites Work

• Initial value problem for colliding gravitational plane waves. IV
• Initial value problem for colliding gravitational plane waves. III
• A Method for Generating New Solutions of Einstein's Equation. II
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