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Isolated Horizons: A Generalization of Black Hole Mechanics
Abhay Ashtekar, Christopher Beetle, Stephen Fairhurst
A set of boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A space-time representing a black hole which itself is in equilibrium bu…
Quantum Theory of Geometry III: Non-commutativity of Riemannian Structures
Abhay Ashtekar, Alejandro Corichi, Jose. A. Zapata
The basic framework for a systematic construction of a quantum theory of Riemannian geometry was introduced recently. The quantum versions of Riemannian structures --such as triad…
Quantum Geometry and Black Holes
Abhay Ashtekar, Kirill Krasnov
Non-perturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. A pedagogical accou…