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OverviewThis 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. Full Product DetailsAuthor: A. LichnerowiczPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1994 Volume: 14 Dimensions: Width: 16.00cm , Height: 1.50cm , Length: 24.00cm Weight: 0.456kg ISBN: 9789048143900ISBN 10: 904814390 Pages: 280 Publication Date: 06 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI — 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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