Some exact solutions of the Einstein field equations in terms of the self-dual spin connection

DOI10.1063/1.530395zbMath0769.53010OpenAlexW2049651616MaRDI QIDQ4697280

Jerzy F. Plebański, Riccardo Capovilla

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.530395

zbMATH Keywords

gravitational instantonsconformally flat space-timesKasner-type

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 (1)

Neighbours of Einstein's equations: Connections and curvatures

Cites Work

• Some solutions of the self-dual Einstein equation
• Self-dual 2-forms and gravity
• A pure spin-connection formulation of gravity
• On the linearization stability of the conformally (anti-) self-dual Einstein equations
• Ashtekar formulation of general relativity and loop-space nonperturbative quantum gravity: a report
• On the separation of Einsteinian substructures

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