Gravitational SolitonsCambridge University Press, 19 июл. 2001 г. - Всего страниц: 258 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. |
Содержание
35 | 10 |
5 | 23 |
General properties of gravitational solitons | 37 |
2 | 45 |
EinsteinMaxwell fields | 60 |
3 | 69 |
diagonal metrics from Kasner | 92 |
4 | 101 |
5 | 132 |
3 | 142 |
4 | 148 |
6 | 164 |
Plane waves and colliding plane waves | 183 |
Axial symmetry | 213 |
| 241 | |
| 253 | |
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Часто встречающиеся слова и выражения
arbitrary constants asymptotic axis background metric background solution Bäcklund transformation Bianchi C-energy C₁ canonical coordinates coefficient ƒ collision complex conjugate consider corresponds cosh cosmological models cylindrical defined described diagonal metrics dressing matrix ds² dt² dz² Einstein equations Einstein-Maxwell equations electromagnetic f(ph FLRW four-dimensional function g(ph geodesics gravisolitons gravitational field gravitational radiation gravitational waves hypersurface inhomogeneous integration interaction region interpretation Kasner background light cones linear matrix g metric coefficients metric components metric tensor n-soliton nondiagonal nonlinear null infinity obtained one-soliton solution p₁ pair perturbations Phys physical plane waves plane-wave polarization pole trajectories potential propagating real poles region II Riemann right hand side satisfies scalar field sine-Gordon sinh soliton solutions space-like space-like infinity spacetime spectral stationary stress-energy tensor symmetry tensor theory time-like topological transformation two-soliton solution vacuum values w₁ μ₁
Популярные отрывки
Стр. 241 - DJ Adams, RW Hellings, RL Zimmerman, H. Farhoosh, DI Levine and Z. Zeldich, Astrophys. J. 253, 1 (1982).
Ссылки на эту книгу
Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods Christian Klein,Olaf Richter Ограниченный просмотр - 2005 |