Ebook: Oscillations and Waves: in Strong Gravitational and Electromagnetic Fields

This book is an updated and modified translation of the Russian edition of 1984. In the present edition, certain sections have been abridged (in particular, Sects. 6.1 and 8.3) and the bibliography has been expanded. There are more detailed discus­ sions of the group properties of integrable systems of equations of mathematical physics (Sect. 3.4) and of the Riemannian problem in the context of the infinite­ dimensional internal symmetry groups of these systems of equations. There is an extended discussion of the reasons for the acceleration and retardation of pulsars in connection with more recent achievements of X-ray astronomy. Part of the material of Chap. 8 of the Russian edition has been included in Chap. 7; thus the number of chapters has been reduced to seven. S. Chandrasekhar set for me an example of brilliant analytical penetration into the essence of physical problems, and my book touches on his work in many in­ stances. The results of modem quantum theories of strong fields are not presented, but they can be found in the fundamental monographs Quantwn Electrodynamics of Strong Fields by W. Greiner, B. Muller, J. Rafelski (Sprioger-Verlag, Berlin, Heidelberg, New York 1985) and Quantwn Effects in Intense External Fields [in Russian] by A. Grib, S. Mamaev, W. Mostepanenko (Energoatomizdat, Moscow 1988). This book was translated by Dr. N. M. Queen; I am very grateful to him. I thank sincerely H. Latta, C.-D. Bachem, V. Rehman, S. von Kalckreuth for preparing of the english manuscript.

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This book emerged from a course given at Moscow State University and provides an introduction to current research in general relativity, relativistic gas dynamics, and cosmology, touching as well on the different methods used in wave theory. Each chapter begins with an elementary introduction and then proceeds to a more sophisticated discussion including a presentation of the current state of the art. Topics covered include: original results of and approaches to the mathematical theory of strong gravitational and electromagnetic fields in general relativity which reduce the problem to a single linear integral equation; the theory of black holes; wave propagation in the vicinity of black holes; the effect of strong external electromagnetic fields on gravitational and electromagnetic waves of short length; the theory of integrable nonlinear two-dimensional systems in theoretical physics; methods of relativistic and magneto gas dynamics in cosmology including shock and acoustic waves; hydrodynamical effects due to the rotation of a pulsar in a closed binary system.

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This book emerged from a course given at Moscow State University and provides an introduction to current research in general relativity, relativistic gas dynamics, and cosmology, touching as well on the different methods used in wave theory. Each chapter begins with an elementary introduction and then proceeds to a more sophisticated discussion including a presentation of the current state of the art. Topics covered include: original results of and approaches to the mathematical theory of strong gravitational and electromagnetic fields in general relativity which reduce the problem to a single linear integral equation; the theory of black holes; wave propagation in the vicinity of black holes; the effect of strong external electromagnetic fields on gravitational and electromagnetic waves of short length; the theory of integrable nonlinear two-dimensional systems in theoretical physics; methods of relativistic and magneto gas dynamics in cosmology including shock and acoustic waves; hydrodynamical effects due to the rotation of a pulsar in a closed binary system.
Content:
Front Matter....Pages I-XIV
Gravitational Waves in Strong Gravitational Fields....Pages 1-64
The Classical Theory of Black Holes....Pages 65-112
Stationary Axially Symmetric Fields in General Relativity....Pages 113-167
Propagation of Waves in the Gravitational Fields of Black Holes....Pages 168-201
Relativistic Hydrodynamics....Pages 202-238
Some Problems of the Dynamics of Waves in Relativistic Cosmology....Pages 239-268
Acoustic Phenomena in Strong Gravitational and Magnetic Fields....Pages 269-347
Back Matter....Pages 349-362

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This book emerged from a course given at Moscow State University and provides an introduction to current research in general relativity, relativistic gas dynamics, and cosmology, touching as well on the different methods used in wave theory. Each chapter begins with an elementary introduction and then proceeds to a more sophisticated discussion including a presentation of the current state of the art. Topics covered include: original results of and approaches to the mathematical theory of strong gravitational and electromagnetic fields in general relativity which reduce the problem to a single linear integral equation; the theory of black holes; wave propagation in the vicinity of black holes; the effect of strong external electromagnetic fields on gravitational and electromagnetic waves of short length; the theory of integrable nonlinear two-dimensional systems in theoretical physics; methods of relativistic and magneto gas dynamics in cosmology including shock and acoustic waves; hydrodynamical effects due to the rotation of a pulsar in a closed binary system.
Content:
Front Matter....Pages I-XIV
Gravitational Waves in Strong Gravitational Fields....Pages 1-64
The Classical Theory of Black Holes....Pages 65-112
Stationary Axially Symmetric Fields in General Relativity....Pages 113-167
Propagation of Waves in the Gravitational Fields of Black Holes....Pages 168-201
Relativistic Hydrodynamics....Pages 202-238
Some Problems of the Dynamics of Waves in Relativistic Cosmology....Pages 239-268
Acoustic Phenomena in Strong Gravitational and Magnetic Fields....Pages 269-347
Back Matter....Pages 349-362
....