Separation of variables and symmetry operators for the conformally invariant Klein-Gordon equation on curved spacetime

DOI10.1007/BF00398553zbMath0576.53051MaRDI QIDQ1065375

Niky Kamran, Raymond G. Mclenaghan

Publication date: 1985

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

zbMATH Keywords

Klein-Gordon equationLaplace-Beltrami equationseparability propertiesconformally invariant

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50)

Related Items (3)

The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations ⋮ Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries ⋮ \(R\)-separation of variables for the conformally invariant Laplace-Beltrami equation

Cites Work

• Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time
• Separable coordinates for four-dimensional Riemannian spaces
• Separable systems of Stäckel
• Orthogonal transitivity, invertibility, and null geodesic separability in type D electrovac solutions of Einstein’s field equations with cosmological constant
• Symmetry operators for neutrino and Dirac fields on curved spacetime
• Separation of variables and symmetry operators for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences
• Global Structure of the Kerr Family of Gravitational Fields

This page was built for publication: Separation of variables and symmetry operators for the conformally invariant Klein-Gordon equation on curved spacetime