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

書誌事項

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

edited by C. Hoenselaers and W. Dietz

(Lecture notes in physics, 205)

Springer-Verlag, 1984

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注記

Includes bibliographical references

内容説明・目次

目次

Backlund 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 Backlund 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.

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