Proof of a Geroch conjecture
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Publication:3960156
DOI10.1063/1.525012zbMath0496.70001OpenAlexW2066576672WikidataQ123272415 ScholiaQ123272415MaRDI QIDQ3960156
Publication date: 1981
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525012
Geroch conjectureErnst potentialKinnersley-Chitre transformationmetric tensor and Killing vectors C4stationary axisymmetric vacuum space-time
Related Items (30)
Bäcklund transformations in the Hauser–Ernst formalism for stationary axisymmetric spacetimes ⋮ Inverse scattering and the Geroch group ⋮ The Riemann–Hilbert problem approach to a representation of the Virasoro group II ⋮ Stationary axisymmetric solutions in the vacuum Jordan-Brans-Dicke theory ⋮ Linear double universal Grassmann manifold method for the stationary axisymmetric vacuum gravitational field equations ⋮ Classification of local generalized symmetries for the vacuum Einstein equations ⋮ Soliton transformations for axially symmetric higher-dimensional gravity. I. Generalized Neugebauer–Kramer transformations ⋮ The relations between the multipole moments in axistationary electrovacuum spacetimes and the \(N\)-soliton solution ⋮ Unnamed Item ⋮ Integrals of motion in the two-Killing-vector reduction of general relativity ⋮ Colliding gravitational plane waves with noncollinear polarization. II ⋮ Aspects of solution-generating techniques for space-times with two commuting Killing vectors ⋮ On the balance problem for two rotating and charged black holes ⋮ The problem of the principal chiral field with the parameters depending on free arguments and its integration ⋮ Painlevé Classification of All Semi linear Partial Differential Equations of the Second Order. I. Hyperbolic Equations in Two Independent Variables ⋮ Kerr–Newman metric endowed with magnetic dipole moment ⋮ Exact solutions of a nonlinear sigma-model in a curved space and the theory of magnetically ordered media with variable saturation magnetization ⋮ Conformal internal symmetry of 2d \(\sigma \)-models coupled to gravity and a dilaton ⋮ The Ernst equation as a motion on a universal Grassmann manifold ⋮ Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ Classical symmetries of some two-dimensional models ⋮ The Riemann–Hilbert transformation for an approach to a representation of the Virasoro group ⋮ Colliding gravitational plane waves with noncollinear polarization. III ⋮ Stationary axisymmetric space-times: A new approach ⋮ Integrated Lax formalism for principal chiral model ⋮ Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction ⋮ Symmetries of the Einstein equations ⋮ Static and stationary multiple soliton solutions to the Einstein equations ⋮ Stationary Black-Hole Binaries: A Non-existence Proof ⋮ The conformal factor in the SAS Einstein-Maxwell field equations and a central extension of a formal loop group
Cites Work
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