Solutions of Einstein’s Equations: Techniques and Results

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.