Gravitational solitons [E-Book] / V. Belinski, E. Verdaguer.
Belinski, V., (author)
Verdaguer, E., (author)
Cambridge : Cambridge University Press, 2001
1 online resource (xiii, 258 pages)
englisch
9780521018067
9780511535253
9780521805865
Cambridge monographs on mathematical physics
Full Text
Table of Contents:
  • 1. Inverse scattering technique in gravity
  • 1.1. Outline of ISM
  • 1.2. The integrable ansatz in general relativity
  • 1.3. The integration scheme
  • 1.4. Construction of the n-soliton solution
  • 1.5. Multidimensional spacetime
  • 2. General properties of gravitational solitons
  • 2.1. The simple and double solitons
  • 2.2. Diagonal background metrics
  • 2.3. Topological properties
  • 3. Einstein-Maxwell fields
  • 3.1. The Einstein-Maxwell field equations
  • 3.2. The spectral problem for Einstein-Maxwell fields
  • 3.3. The components g[subscript ab] and the potentials A[subscript a]
  • 3.4. The metric component f
  • 3.5. Einstein-Maxwell breathers
  • 4. Cosmology: diagonal metrics from Kasner
  • 4.1. Anisotropic and inhomogeneous cosmologies
  • 4.2. Kasner background
  • 4.3. Geometrical characterization of diagonal metrics
  • 4.4. Soliton solutions in canonical coordinates
  • 4.5. Solutions with real poles
  • 4.6. Solutions with complex poles
  • 5. Cosmology: nondiagonal metrics and perturbed FLRW
  • 5.1. Nondiagonal metrics
  • 5.2. Bianchi II backgrounds
  • 5.3. Collision of pulse waves and soliton waves
  • 5.4. Solitons on FLRW backgrounds
  • 6. Cylindrical symmetry
  • 6.1. Cylindrically symmetric spacetimes
  • 6.2. Einstein-Rosen soliton metrics
  • 6.3. Two polarization waves and Faraday rotation
  • 7. Plane waves and colliding plane waves
  • 7.1. Overview
  • 7.2. Plane waves
  • 7.3. Colliding plane waves
  • 8. Axial symmetry
  • 8.1. The integration scheme
  • 8.2. General n-soliton solution
  • 8.3. The Kerr and Schwarzschild metrics
  • 8.4. Asymptotic flatness of the solution
  • 8.5. Generalized soliton solutions of the Weyl class
  • 8.6. Tomimatsu-Sato solution.