Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects.

DOI10.1016/S0926-2245(01)00062-6zbMath1033.53021arXivgr-qc/0301020OpenAlexW2125900195WikidataQ115338246 ScholiaQ115338246MaRDI QIDQ1608962

Giovanni Sparano, Gaetano Vilasi, Alexandre M. Vinogradov

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0301020

zbMATH Keywords

Riemannian metricssecond order differential equationtortoise equationvacuum Einstein's field equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. ⋮ On the structure and applications of the Bondi–Metzner–Sachs group ⋮ Ricci flat 4-metrics with bidimensional null orbits ⋮ Nonlinear gravitational waves, their polarization, and realistic sources ⋮ Alexandre Mikhailovich Vinogradov ⋮ Nonlinear gravitational waves and their polarization ⋮ Generalised symmetries of partial differential equations via complex transformations ⋮ The gravitational field of a laser beam and the generalized uncertainty principle ⋮ On Ricci flat metrics possessing non-trivial conformal Killing algebras ⋮ SPIN-1 GRAVITATIONAL WAVES: THEORETICAL AND EXPERIMENTAL ASPECTS ⋮ GEOMETRICAL ASPECTS OF MIXED TORSIONLESS TENSOR FIELDS

Cites Work

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• Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects.
• Studies in space-times admitting two spacelike Killing vectors
• Exact solutions of the vacuum Einstein’s equations allowing for two noncommutative killing vectors (Type G2II of Petrov classification)
• New first integral for twisting type-N vacuum gravitational fields with two non-commuting Killing vectors
• A Method for Generating New Solutions of Einstein's Equation. II
• Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries

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