Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time

ISBN-13: 9789048143900 / Angielski / Miękka / 2010 / 280 str.

A. Lichnerowicz

Opis

This volume presents a unified theory of shock waves corresponding to gravitational and electromagnetic fields and to magnetohydrodynamics in the context of general relativity. The common tool employed is provided by tensor distribution -- an approach which has been systematically developed by the author since 1962. One remarkable result is that this yields a complete theory of magnetohydrodynamic shock waves, which can also be applied to the treatment of pulsars. The same method is also applicable to the quantization of some physical fields in curved space-time. This, too, is discussed in the book. For graduate students and researchers in mathematical physics and theoretical astrophysics.

Spis treści

Preface. 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 applications. Annex I: Shock waves and Alfven waves. Annex II: Magnetosonic rays. Annex III: Classical approximations of the relativistic shock equations. Bibliography. Note: Approach to a quantum theory of fields for a curved space-time. I. Tensor propagators. II. Applications to quantization problems over a curved space-time. References for the Note.