Mathematics and General Relativity
Joint Summer Research Conference in Mathematical Sciences
Published on 15. December 1988
Book
Paperback/Softback
367 pages
978-0-8218-5079-4 (ISBN)
Description
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in General Relativity, held in June 1986 at the University of California, Santa Cruz. General relativity is one of the most successful alliances of mathematics and physics. It provides us with a theory of gravity which agrees with all experimentation and observation to date. In addition, there is a great deal of physical evidence for a number of interesting effects predicted by the theory of gravity - black holes, cosmological expansion, gravitational waves, and gravitational lenses. The enabling tool is the language of differential geometry. Throughout its 70-year history, general relativity has significantly stimulated pseudo-Riemannian as well as Riemannian geometry and has also motivated important work in complex geometry, topology, and the study of both elliptic and hyperbolic systems of partial differential equations.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Dimensions
Height: 254 mm
Width: 171 mm
Weight
635 gr
ISBN-13
978-0-8218-5079-4 (9780821850794)
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Schweitzer Classification
Content
Aspects of quasi-local angular momentum by R. Penrose Some remarks on the quasi-local mass by D. Christodoulou and S. T. Yau Quasi-local mass for "large" spheres by W. T. Shaw Conserved quantities as action variations by R. D. Sorkin A $3+1$ formulation of Einstein self-duality by A. Ashtekar Quantum gravity in the self-dual representation by L. Smolin Superspace in the self-dual representation of quantum gravity by T. Jacobson Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces by C. P. Boyer Instantons on the quaternionic Siegel space by F. J. Flaherty Gauge theories for fields of spin-one and spin-two by R. M. Wald Einstein geometry and hyperbolic equations by S. Klainerman The well-posedness of Rosen's field equations by R. J. Knill and A. P. Whitman Dynamics of quadratic Lagrangians in gravity: Fairchild's theory by V. Szczyrba Stability in dissipative relativistic fluid theories by W. A. Hiscock and L. Lindblom The Hamiltonian formulation of classical field theory by J. E. Marsden The Ricci flow on surfaces by R. S. Hamilton Curvature and compact spacelike surfaces in 4-dimensional spacetimes by D. N. Kupeli Spacetime singularities from high matter densities (abstract) by R. Schoen Metric singularity phenomena in pseudo-Riemannian geometry by M. Kossowski Covariant quantization of dynamical systems with constraints by K. V. Kuchar Problems on diffeomorphism arising from quantum gravity by J. L. Friedman and D. M. Witt Initial value decomposition of the spacetime diffeomorphism group by P. B. Yasskin Inclusion of fermions in the wave function of the universe by P. D. D'Eath and J. J. Halliwell Gauge symmetries of string field theory (abstract) by M. E. Peskin Twistors and strings by W. T. Shaw.