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| eBook ISBN: | 978-0-8218-7660-2 |
| Product Code: | CONM/71.E |
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Book DetailsContemporary MathematicsVolume: 71; 1988; 367 ppMSC: Primary 83
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.
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Table of Contents
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Articles
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Roger Penrose — Aspects of quasilocal angular momentum [ MR 954404 ]
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D. Christodoulou and S.-T. Yau — Some remarks on the quasi-local mass [ MR 954405 ]
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William T. Shaw — Quasi-local mass for “large” spheres [ MR 954406 ]
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Rafael D. Sorkin — Conserved quantities as action variations [ MR 954407 ]
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Abhay Ashtekar — A $3+1$ formulation of Einstein self-duality [ MR 954408 ]
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Lee Smolin — Quantum gravity in the self-dual representation [ MR 954409 ]
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Ted Jacobson — Superspace in the self-dual representation of quantum gravity [ MR 954410 ]
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Charles P. Boyer — Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces [ MR 954411 ]
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F. J. Flaherty — Instantons on the quaternionic Siegel space [ MR 954412 ]
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Robert M. Wald — Gauge theories for fields of spin-one and spin-two [ MR 954413 ]
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S. Klainerman — Einstein geometry and hyperbolic equations [ MR 954414 ]
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R. J. Knill and A. P. Whitman — The well-posedness of Rosen’s field equations [ MR 954415 ]
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Victor Szczyrba — Dynamics of quadratic Lagrangians in gravity: Fairchild’s theory [ MR 954416 ]
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William A. Hiscock and Lee Lindblom — Stability in dissipative relativistic fluid theories [ MR 954417 ]
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Jerrold E. Marsden — The Hamiltonian formulation of classical field theory [ MR 954418 ]
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Richard S. Hamilton — The Ricci flow on surfaces [ MR 954419 ]
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Demir N. Kupeli — Curvature and compact spacelike surfaces in $4$-dimensional spacetimes [ MR 954420 ]
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Marek Kossowski — Metric singularity phenomena in pseudo-Riemannian geometry [ MR 954422 ]
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Karel V. Kuchař — Covariant quantization of dynamical systems with constraints [ MR 954423 ]
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John L. Friedman and Donald M. Witt — Problems on diffeomorphisms arising from quantum gravity [ MR 954424 ]
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Philip B. Yasskin — Initial value decomposition of the spacetime diffeomorphism group [ MR 954425 ]
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P. D. D’Eath and J. J. Halliwell — Inclusion of fermions in the wave function of the universe [ MR 954426 ]
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Michael E. Peskin — Gauge symmetries of string field theory [ MR 954427 ]
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William T. Shaw — Twistors and strings [ MR 954428 ]
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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.
-
Articles
-
Roger Penrose — Aspects of quasilocal angular momentum [ MR 954404 ]
-
D. Christodoulou and S.-T. Yau — Some remarks on the quasi-local mass [ MR 954405 ]
-
William T. Shaw — Quasi-local mass for “large” spheres [ MR 954406 ]
-
Rafael D. Sorkin — Conserved quantities as action variations [ MR 954407 ]
-
Abhay Ashtekar — A $3+1$ formulation of Einstein self-duality [ MR 954408 ]
-
Lee Smolin — Quantum gravity in the self-dual representation [ MR 954409 ]
-
Ted Jacobson — Superspace in the self-dual representation of quantum gravity [ MR 954410 ]
-
Charles P. Boyer — Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces [ MR 954411 ]
-
F. J. Flaherty — Instantons on the quaternionic Siegel space [ MR 954412 ]
-
Robert M. Wald — Gauge theories for fields of spin-one and spin-two [ MR 954413 ]
-
S. Klainerman — Einstein geometry and hyperbolic equations [ MR 954414 ]
-
R. J. Knill and A. P. Whitman — The well-posedness of Rosen’s field equations [ MR 954415 ]
-
Victor Szczyrba — Dynamics of quadratic Lagrangians in gravity: Fairchild’s theory [ MR 954416 ]
-
William A. Hiscock and Lee Lindblom — Stability in dissipative relativistic fluid theories [ MR 954417 ]
-
Jerrold E. Marsden — The Hamiltonian formulation of classical field theory [ MR 954418 ]
-
Richard S. Hamilton — The Ricci flow on surfaces [ MR 954419 ]
-
Demir N. Kupeli — Curvature and compact spacelike surfaces in $4$-dimensional spacetimes [ MR 954420 ]
-
Marek Kossowski — Metric singularity phenomena in pseudo-Riemannian geometry [ MR 954422 ]
-
Karel V. Kuchař — Covariant quantization of dynamical systems with constraints [ MR 954423 ]
-
John L. Friedman and Donald M. Witt — Problems on diffeomorphisms arising from quantum gravity [ MR 954424 ]
-
Philip B. Yasskin — Initial value decomposition of the spacetime diffeomorphism group [ MR 954425 ]
-
P. D. D’Eath and J. J. Halliwell — Inclusion of fermions in the wave function of the universe [ MR 954426 ]
-
Michael E. Peskin — Gauge symmetries of string field theory [ MR 954427 ]
-
William T. Shaw — Twistors and strings [ MR 954428 ]
