Local transverse-traceless tensor operators in general relativity

DOI10.1063/1.525146zbMath0471.58029OpenAlexW2081814458MaRDI QIDQ3924876

David K. Monroe

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525146

zbMATH Keywords

conformal curvature 3-tensorflat-space transverse-traceless tensor operatorsgravitational wave scatteringinitial data for numerical solutions of the gravitational field equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of PDEs on manifolds (58J90) Gravitational waves (83C35)

Cites Work

• Gravitational waves in general relativity III. Exact plane waves
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
• Hertzian electromagnetic potentials and associated gauge transformations

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