Invariant Approach to the Geometry of Spaces in General Relativity

DOI10.1063/1.1704268zbMath0125.21204OpenAlexW2091960643WikidataQ30052187 ScholiaQ30052187MaRDI QIDQ5330146

Carl H. Brans

Publication date: 1965

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

Full work available at URL: https://doi.org/10.1063/1.1704268

zbMATH Keywords

classical field theory, relativity theory

Related Items (21)

Equivalence conditions and invariants for the general form of Burgers' equations ⋮ Invariant classification and the generalised invariant formalism: Conformally flat pure radiation metrics ⋮ Higher-order space-time contacts and equivalence ⋮ Lorentzian three-metrics with degenerate Ricci tensors ⋮ Riemannian three-metrics with degenerate Ricci tensors ⋮ Dimension of the isometry group in spacetimes with an invariant frame ⋮ A review of the geometrical equivalence of metrics in general relativity ⋮ On a coordinate-invariant description of Riemannian manifolds ⋮ Inequivalent metrics with equal spin coefficients ⋮ On determining the isometry group of a Riemannian space ⋮ Finding integrals and identities in the Newman-Penrose formalism: a comment ⋮ Equivalence and singularities: An application of computer algebra ⋮ New level of relativity ⋮ On local equivalence problem of space-times with two orthogonally transitive commuting Killing fields ⋮ Finding isometry groups in theory and practice ⋮ Type D vacuum solutions: a new intrinsic approach ⋮ Complete integrability conditions of the Einstein–Petrov equations, type I ⋮ The equivalence problem ⋮ On identifying coordinates ⋮ Finding space-time geometries without using a metric ⋮ The Poisson brackets of free null initial data for vacuum general relativity

Cites Work

• Classical Physics as geometry. Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
• Construction of a Complete Set of Independent Observables in the General Theory of Relativity
• Classification of Four-Dimensional Riemannian Spaces

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