311 citations · 317 across the 3 of their papers we have counts for
9 papers · 1 filter
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…
How Black Holes Grow
Abhay Ashtekar
A summary of how black holes grow in full, non-linear general relativity is presented. Specifically, a notion of "dynamical horizons" is introduced and expressions of fluxes of ene…
Isolated Horizons in 2+1 Gravity
Abhay Ashtekar, Olaf Dreyer, Jacek Wisniewski
Using ideas employed in higher dimensional gravity, non-expanding, weakly isolated and isolated horizons are introduced and analyzed in 2+1 dimensions. While the basic definitions…
Quantum Geometry of Isolated Horizons and Black Hole Entropy
A. Ashtekar, J. Baez, K. Krasnov
Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to…
Quantum Mechanics of Geometry
Abhay Ashtekar
Over the past six years, a detailed framework has been constructed to unravel the quantum nature of the Riemannian geometry of physical space. A review of these developments is pre…