DE RHAM WAVE EQUATION FOR TENSOR VALUED p-FORMS

DOI10.1142/S0218271803003785zbMath1079.58505OpenAlexW2006312915WikidataQ62560896 ScholiaQ62560896MaRDI QIDQ5700008

Christian Cherubini, Remo Ruffini, Donato Bini, Robert T. Jantzen

Publication date: 27 October 2005

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218271803003785

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Applications of PDEs on manifolds (58J90) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (8)

Wave operators, torsion, and Weitzenböck identities ⋮ The Poincaré lemma for codifferential, anticoexact forms, and applications to physics ⋮ Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes ⋮ The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions ⋮ Constructing p, n-forms from p-forms via the Hodge star operator and the exterior derivative ⋮ The Calabi complex and Killing sheaf cohomology ⋮ A weighted de Rham operator acting on arbitrary tensor fields and their local potentials ⋮ Cohomology with causally restricted supports

Cites Work

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• A spinor approach to general relativity
• Results and open problems in mathematical general relativity
• Teukolsky Master Equation: de Rham Wave Equation for Gravitational and Electromagnetic Fields in Vacuum
• Reliability of perturbation theory in general relativity
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• A space-time calculus based on pairs of null directions
• Ricci-Calculus

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