Bibliography of Publications related to Classical and Quantum Gravity in terms of the Ashtekar Variables

Abstract

This bibliography attempts to give a comprehensive overview of all the literature related to the Ashtekar variables. The original version was compiled by Peter Huebner in 1989, and it has been subsequently updated by Gabriela Gonzalez and Bernd Bruegmann. Information about additional literature, new preprints, and especially corrections are always welcome.

15 pages (LaTeX), MPI-Ph/93-68 (Sept. 93)

References in corpus (18)

• The Cosmological Constant
• Weaving a classical geometry with quantum threads
• Canonical Quantization of Spherically Symmetric Gravity in Ashtekar's Self-Dual Representation
• Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
• Gravitons and Loops
• Unification of Gravity and Yang-Mills Theory in (2+1)-Dimensions
• Recent Developments in Non-Perturbative Quantum Gravity
• Unique determination of an inner product by adjointness relations in the algebra of quantum observables
• Covariant Phase Space Formulation of Parametrized Field Theories
• The weaving of curved geometries
• Self Duality and Quantization
• An algebraic approach to the quantization of cosntrained systems: finite dimensional examples
• Loop Variable Inequalities in Gravity and Gauge Theory
• The Spin Holonomy Group In General Relativity
• Minisuperspaces: Symmetries and Quantization
• Non-Minimally Coupled Scalar Field and Ashtekar Variables
• Recent Developments in Classical and Quantum Theories of Connections, Including General Relativity
• Mtric from Non-Metric Action of Gravity

Cited by in corpus (5)

• Actions for Gravity, with Generalizations: A Review
• Ashtekar's formulation for $N=1,2$ supergravities as "constrained" BF theories
• The Geroch group in the Ashtekar formulation
• Ashtekar Variables in Classical General Realtivity
• A semiclassical interpretation of the topological solutions for canonical quantum gravity