Causal structure of left-invariant Lorentz metrics on the group \(M_ 2 \otimes{} R^ 2\)

DOI10.1007/BF00970631zbMath0736.22007WikidataQ125289134 ScholiaQ125289134MaRDI QIDQ1174003

Alexander Levichev

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

geodesicsLie algebracausalityRicci tensorgeodesic completenessfour-dimensional simply connected Lie groupGödel grouphomogeneous Lorentz manifoldLorentz formtimelike vectors

Mathematics Subject Classification ID

Structure and representation of the Lorentz group (22E43) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

Relativistic diffusion in Gödel's universe

Cites Work

• Methods of investigation of the causal structures of homogeneous Lorentz manifolds
• Subalgebras of real three- and four-dimensional Lie algebras

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