Affine projection-tensor geometry: Lie derivatives and isometries

DOI10.1063/1.531092zbMath0830.53074arXivgr-qc/9408014OpenAlexW2040496453MaRDI QIDQ4836949

Robert H. Gowdy

Publication date: 29 January 1996

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9408014

zbMATH Keywords

isometryLie derivativesaffine projection-tensor geometry

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99)

Cites Work

• Spherically symmetric solutions in five-dimensional general relativity
• Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
• Projection tensor hydrodynamics: Generalized perfect fluids
• The parametric manifold picture of space-time.
• Time-dependent Kaluza–Klein soliton solutions
• Exact solutions and the effective equation of state in Kaluza–Klein theory
• The general solution to the Einstein equations on a null surface
• Affine projection tensor geometry: Decomposing the curvature tensor when the connection is arbitrary and the projection is tilted

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