Solutions of Einstein’s Equations: Techniques and Results

Inhaltsverzeichnis

• Bäcklund transformations in general relativity.
• Prolongation structures and differential forms.
• Vector backlund transformations and associated superposition principle.
• HKX-transformations an introduction.
• HKK transfornatlons: Some results.
• The Geroch group is a Banach Lie Group.
• On the homogeneous Hilbert problem for effecting Kinnersley-Chitre transformations.
• The homogeneous Hilbert problem: Practical application.
• Noniterative method for constructing exact solutions of Einstein equations.
• Inverse scattering, differential geometry Einstein-Maxwell solitons and one Soliton Bäcklund transformations.
• Classical aspects of Yang-Mills theories.
• Exact solutions of ? Pn models.
• Explicit and hidden symmetries of dimensionally reduced (super-) gravity theories.
• N-Kerr particles.
• Algebraically special shearfree, diverging, and twisting vacuum and Einstein-Maxwell fields.
• Exact solutions in cosmology.
• The Newtonian limit.
• Projective relativity and exact solutions.
• Exact Brans-Dicke-Bianchi solutions.