Integration of the Einstein–Dirac equations

DOI10.1063/1.531724zbMath0859.58031OpenAlexW1981216983MaRDI QIDQ4716475

A. G. Sakhapov, Valery V. Obukhov, Vladislav G. Bagrov

Publication date: 19 December 1996

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

Full work available at URL: https://doi.org/10.1063/1.531724

zbMATH Keywords

Einstein-Weyl equationsEinstein-Dirac equationexact integrationdiagonal metrics of Bianchi type 1

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (2)

The Einstein-Dirac equation in Robertson-Walker space-time does not admit standard solutions ⋮ Exact solutions in modified gravity models

Cites Work

• Classification of null-Stäckel electrovac metrics with cosmological constant
• Classes of Exact Solutions of the Einstein‐Maxwell Equations
• Non-factorizable separable systems and higher-order symmetries of the Dirac operator
• A class of exact solutions of the Einstein–Dirac equations
• Separation of variables in the Dirac equation in Stackel spaces
• Wavelike solutions to the Einstein equations coupled to neutrino and gauge fields
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Killing Tensors and Nonorthogonal Variable Separation for Hamilton–Jacobi Equations
• New method of integration for the Dirac equation on a curved space-time
• Separation of variables and symmetry operators for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences
• Matrix operator symmetries of the Dirac equation and separation of variables

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