Gravitational Solitons

ISBN-13: 9780521805865 / Angielski / Twarda / 2001 / 274 str.

V. A. Belinskii; E. Verdaguer

Opis

Here is a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes.

Recenzje

' … this is a complete and detailed treatment of a complicated subject. The authors provide a general introduction to their methods and the book is essentially self-contained. It could in principle be read by a third year undergraduate who had taken an introductory course in general relativity, particularly one who was interested in integrable systems.' Contemporary Physics

Spis treści

Preface; 1. Inverse scattering technique in gravity; 2. General properties of gravitational solitons; 3. Einstein-Maxwell fields; 4. Cosmology: diagonal metrics from Kasner; 5. Cosmology: nondiagonal metrics and perturbed FLRW; 6. Cylindrical symmetry; 7. Plane waves and colliding plane waves; 8. Axial symmetry; Bibliography; Index.