Propagation of high-frequency electromagnetic waves through a magnetized plasma in curved space-time. I

Details Propagation of high-frequency electromagnetic waves through a magnetized plasma in curved space-time. I Propagation of high-frequency electromagnetic waves through a magnetized plasma in curved space-time. I

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980rspsa.370..389b&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 370, no. 1742, Mar. 28, 1980, p. 389-40

Astronomy and Astrophysics

Astrophysics

11

Cosmic Plasma, Electromagnetic Wave Transmission, High Frequencies, Plasma-Electromagnetic Interaction, Space-Time Functions, Algorithms, Astrophysics, Black Holes (Astronomy), Hamiltonian Functions, Nonlinear Equations, Plasma Dynamics, X Ray Sources

Scientific paper

The paper examines propagation of high-frequency electromagnetic waves through a magnetized plasma in curved space-time. It is shown that the nonlinear system of equations governing the plasma and the electromagnetic field in a given, external gravitational field has locally a unique solution for any initial data set obeying the appropriate constraints; the algorithm for obtaining oscillatory asymptotic solutions of linear systems of partial differential equations of arbitrary order is generalized. A sufficient condition is stated for hyperbolic systems in order that asymptotic solutions of finite order constructed by means of a Hamiltonian system of ordinary differential equations for the characteristic strips and a system of transport equations determining the propagation of the amplitudes along the rays indeed approximate solutions of the system.

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