Cauchy's problem and Huygens' principle for relativistic higher spin wave equations in an arbitrary curved space-time
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Publication:1058071
DOI10.1007/BF00760104zbMath0564.35091MaRDI QIDQ1058071
Publication date: 1985
Published in: General Relativity and Gravitation (Search for Journal in Brave)
representation theoremHuygens' principlecurved space-timeCauchy's problemnonzero mass equationsRelativistic spinRiesz' integration method
Integral representations of solutions to PDEs (35C15) Partial differential equations of mathematical physics and other areas of application (35Q99) Exact solutions to problems in general relativity and gravitational theory (83C15)
Related Items (19)
Separation of the massless field equations for arbitrary spin in the Robertson–Walker space–time ⋮ A survey on Huygens' principle ⋮ Separation of the massless spin-1 equation in Robertson-Walker space-time ⋮ Exact sets of test uncharged massive spin 3/2 fields in general relativity ⋮ Normally hyperbolic operators, the Huygens property and conformal geometry ⋮ A no-go theorem for the consistent quantization of spin-\(3/2\) fields on general curved spacetimes ⋮ Field equations of arbitrary spin in space-time with torsion ⋮ Huygens' principle for the Dirac equation in spacetime of non-constant curvature ⋮ Special temporal functions on globally hyperbolic manifolds ⋮ Spin 3/2 field equation: separation and solution in a class of Lemaître-Tolman-Bondi cosmologies ⋮ Cauchy's problem and Huygens' principle for the linearized Einstein field equations ⋮ Fundamental solutions of the Dirac operator in the Friedmann-Lemaître-Robertson-Walker spacetime ⋮ Complete sets of functions for perturbations of Robertson–Walker cosmologies and spin 1 equations in Robertson–Walker-type space-times ⋮ Complete sets of functions for perturbations of Robertson Walker cosmologies ⋮ Massive spin zero fields in cosmology and the tail-free property ⋮ Cauchy problem and Green's functions for first order differential operators and algebraic quantization ⋮ Massive fields of arbitrary spin in curved space-times ⋮ Global in time self-interacting Dirac fields in the de Sitter space ⋮ Huygens’ principle for the generalized Dirac operator in curved spacetime
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