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Dynamical Horizons and their Properties
Abhay Ashtekar, Badri Krishnan
A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of…
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…
Non-minimally coupled scalar fields and isolated horizons
Abhay Ashtekar, Alejandro Corichi, Daniel Sudarsky
The isolated horizon framework is extended to include non-minimally coupled scalar fields. As expected from the analysis based on Killing horizons, entropy is no longer given just…
Non-minimal couplings, quantum geometry and black hole entropy
Abhay Ashtekar, Alejandro Corichi
The black hole entropy calculation for type I isolated horizons, based on loop quantum gravity, is extended to include non-minimally coupled scalar fields. Although the non-minimal…
Mathematical structure of loop quantum cosmology
Abhay Ashtekar, Martin Bojowald, Jerzy Lewandowski
Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural re…