Solutions of Einstein's Equations: Techniques and Results

Solutions of Einstein's Equations: Techniques and Results Proceedings of the International Seminar on Exact Solutions of Einstein's Equations Held in Retzbach, Germany, November 14–18, 1983 / [electronic resource] : edited by C. Hoenselaers, W. Dietz. - VI, 443 p. 2 illus. online resource. - Lecture Notes in Physics, 205 0075-8450 ; . - Lecture Notes in Physics, 205 .

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.

9783540389224

10.1007/3-540-13366-6 doi


Mathematical physics.
Classical and Quantum Gravitation, Relativity Theory.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.

QC178 QC173.5-173.65

530.1
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