Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time

I — Tensor Distributions.- II – Maxwell’s equations and electromagnetic waves over a curved space-time.- III – Einstein’s equations and the Leray theorem.- IV — Gravitational and electromagnetic shock waves.- V — Relativistic hydrodynamics.- VI — The equations of magnetohydrodynamics.- VII — Magnetohydrodynamic shock waves.- VIII — Hugoniot’s function and applications.- Annex I — Shock waves and alfven waves.- AI.1. — Singular shocks.- AI.2. — Compatibility between shock waves and Alfven waves.- Annex II — Magnetosonic rays.- AII.1. — Directions of the rays.- AII.2. — Action of 6 on the direction of the ray.- Annex III — Classical approximations of the relativistic shock equations.- AIII.1.— The frame connected with the shock.- AIII.2.— Classical approximation.- Note — Approach to a quantum theory of fields for a curved space-time.- I — Tensor propagators.- NI. 1. — Orientations over a space-time.- NI.2. — Global hyperbolicity.- NI.3. — Bitensors and Dirac bitensors.- NI.4. — Linear differential-tensor operators associated with g...- NI.5. — Elementary Kernels and propagators.- NI.6. — Tensor propagators relative to the space-time of.- Minkowski.- NI.7. — Propagators relative to the operator (? + ?).- II — Applications to quantization problems over a curved space-time.- NII.1. — Commutator for vector Meson.- NII.2. — Commutator for a free electromagnetic field.- NII.3. — Commutator for a varying gravitational field with mass.- NII.4. — Commutator for a varying gravitational field without mass term.- NII.5. — Creation. Annihilation operators.- NII.6. — Dirac field.- References for the Note.