Linear double universal Grassmann manifold method for the stationary axisymmetric vacuum gravitational field equations

DOI10.1007/BF02083815zbMath0848.53062OpenAlexW2015956224MaRDI QIDQ1912247

Zai-Zhe Zhong, Ya-Jun Gao

Publication date: 6 May 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02083815

zbMATH Keywords

exact solutionsdouble duality symmetriesGrassmann manifold techniquesstationary axisymmetric vacuum gravitational field equations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (4)

Double structures and double symmetries for the Einstein-Maxwell-Dilaton-Axion theory ⋮ Double structures and soliton double solution family for Einstein-Maxwell-dilaton theory ⋮ Extended double Riemann–Hilbert problem and multiple representations of the infinite-dimensional symmetric group for the stationary axisymmetric vacuum field equations ⋮ DOUBLE STRUCTURES AND DOUBLE SYMMETRIES FOR THE EINSTEIN–KALB–RAMOND THEORY

Cites Work

• The Ernst equation as a motion on a universal Grassmann manifold
• Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions
• Generation of new solutions of the stationary axisymmetric Einstein equations by a double complex function method
• Proof of a Geroch conjecture
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry

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