The conformal factor in the SAS Einstein-Maxwell field equations and a central extension of a formal loop group

DOI10.1007/BF02099787zbMath0793.53087OpenAlexW2026472593WikidataQ125914541 ScholiaQ125914541MaRDI QIDQ1317392

Ryuichi Sawae, Takashi Hashimoto

Publication date: 24 March 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099787

zbMATH Keywords

Einstein-Maxwell field equationsHauser group

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Applications of differential geometry to physics (53Z05) Einstein-Maxwell equations (83C22)

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• 4-dimensional black holes from Kaluza-Klein theories
• A linearization of \(S(U(1){\times{}}U(2)){\backslash{}}SU(1,2)\) \(\sigma{}\)-model
• The conformal factor and a central extension of a formal loop group with values in \(\text{PSL}(2,\mathbb{R})\)
• The Ernst equation as a motion on a universal Grassmann manifold
• Proof of a Geroch conjecture
• A Method for Generating New Solutions of Einstein's Equation. II

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