Solution of the Helmholtz equation for spin-2 fields

dc.creatordel Castillo, G. F. Torres
dc.creatorMarcial, J. E. Rojas
dc.date2003-05-01
dc.date.accessioned2026-07-07T03:27:48Z
dc.date.available2026-07-07T03:27:48Z
dc.descriptionThe Helmholtz equation for symmetric, traceless, second-rank tensor fields in three-dimensional flat space is solved in spherical and cylindrical coordinates by separation of variables making use of the corresponding spin-weighted harmonics. It is shown that any symmetric, traceless, divergenceless second-rank tensor field that satisfies the Helmholtz equation can be expressed in terms of two scalar potentials that satisfy the Helmholtz equation. Two such expressions are given, which are adapted to the spherical or cylindrical coordinates. The application to the linearized Einstein theory is discussed.
dc.description13 pages, no figures. Paper already published in Revista Mexicana de Fisica
dc.identifierhttps://arxiv.org/abs/gr-qc/0305002
dc.identifierhttp://arxiv.org/abs/gr-qc/0305002
dc.identifierRev.Mex.Fis. 39 (1993) 32-46
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34577
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSolution of the Helmholtz equation for spin-2 fields
dc.typetext

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