Physics Bulletin · 1976 · 259 citations · 0 references
Natural SciencesMathematicsPhysicsMathematical PhysicsQuantum MechanicsRelativityCurved SpacetimeDifferential GeometryElectromagnetic WavesGeneral RelativityQuantum Field TheoryWave PropagationClassical Radiation TheoryCurved Spacetime Quantum Field TheoryDifferential Geometry FormulationDifferential Geometry Of Curved SpacesDifferential Geometry Of SpacetimeEquations Of Motion In General RelativityPerturbation Theory In Curved SpacetimeRelativistic Wave Equations
The continuing interest in general relativity has created the need for a book on the rigorous mathematical theory of wave propagation in curved space–time, both for treatment of classical radiation and as a basis for the more recent developments in the subject of quantum fields on a manifold. This book meets that demand by treating in the language of modern differential geometry and the theory of distributions some of the pioneering work on wave propagation due to Hadamard and Riesz.