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Symmetry reduced Einstein gravity and generalized sigma and chiral models
Abhay Ashtekar, Viqar Husain
Certain features associated with the symmetry reduction of the vacuum Einstein equations by two commuting, space-like Killing vector fields are studied. In particular, the discussi…
Quantum Theory of Geometry II: Volume operators
Abhay Ashtekar, Jerzy Lewandowski
A functional calculus on the space of (generalized) connections was recently introduced without any reference to a background metric. It is used to continue the exploration of the…
Quantum Geometry and Black Hole Entropy
A. Ashtekar, J. Baez, A. Corichi +1
A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theor…
Gauss Linking Number and Electro-magnetic Uncertainty Principle
Abhay Ashtekar, Alejandro Corichi
It is shown that there is a precise sense in which the Heisenberg uncertainty between fluxes of electric and magnetic fields through finite surfaces is given by (one-half t…
Mathematical Problems of Quantum Gravity
Peter Aichelburg, Abhay Ashtekar
This pre-print contains the abstracts of seminars (including key references) presented at the ESI workshop on mathematical problems in quantum gravity held during July and August o…