Positive‐definite self‐dual solutions of Einstein’s field equations

Positive‐definite self‐dual solutions of Einstein’s field equations

We investigate (anti‐) self‐dual Riemann space‐times for diagonal Bianchi types of class A with positive‐definite metrics. A general algorithm to find self‐dual solutions is presented. Explicit solutions are given for all types of class A.

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Bibliographische Detailangaben
Veröffentlicht in:J. Math. Phys. (N.Y.); (United States) 1983-11, Vol.24 (11), p.2632-2634
1. Verfasser: LORENZ PETZOLD, D
Format: Artikel
Sprache:eng
Schlagworte:
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation
ALGORITHMS
ANALYTICAL SOLUTION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Classical general relativity
EINSTEIN FIELD EQUATIONS
EQUATIONS
Exact sciences and technology
FIELD EQUATIONS
General relativity and gravitation
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
MATRICES
Physics
RIEMANN SPACE
SPACE
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Zusammenfassung:We investigate (anti‐) self‐dual Riemann space‐times for diagonal Bianchi types of class A with positive‐definite metrics. A general algorithm to find self‐dual solutions is presented. Explicit solutions are given for all types of class A.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.525636