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Quantum geometry and the Schwarzschild singularity
Abhay Ashtekar, Martin Bojowald
In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or in…
Semiclassical States for Constrained Systems
Abhay Ashtekar, Luca Bombelli, Alejandro Corichi
The notion of semi-classical states is first sharpened by clarifying two issues that appear to have been overlooked in the literature. Systems with linear and quadratic constraints…
Black hole evaporation: A paradigm
Abhay Ashtekar, Martin Bojowald
A paradigm describing black hole evaporation in non-perturbative quantum gravity is developed by combining two sets of detailed results: i) resolution of the Schwarzschild singular…
Some uniqueness results for dynamical horizons
Abhay Ashtekar, Gregory J. Galloway
We first show that the intrinsic, geometrical structure of a dynamical horizon is unique. A number of physically interesting constraints are then established on the location of tra…