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Singularity Resolution in Loop Quantum Cosmology: A Brief Overview
Abhay Ashtekar
A brief summary of the singularity resolution in loop quantum cosmology of homogeneous isotropic models is presented. The article is addressed to relativists who do not specialize…
Loop Quantum Cosmology: An Overview
Abhay Ashtekar
A brief overview of loop quantum cosmology of homogeneous isotropic models is presented with emphasis on the origin of and subtleties associated with the resolution of big bang and…
Quantum Space-times: Beyond the Continuum of Minkowski and Einstein
Abhay Ashtekar
In general relativity space-time ends at singularities. The big bang is considered as the Beginning and the big crunch, the End. However these conclusions are arrived at by using g…
Action and Hamiltonians in higher dimensional general relativity: First order framework
Abhay Ashtekar, David Sloan
We consider -dimensional space-times which are asymptotically flat at spatial infinity and show that, in the first order framework, the action principle is well-defined \emph{…
The covariant entropy bound and loop quantum cosmology
Abhay Ashtekar, Edward Wilson-Ewing
We examine Bousso's covariant entropy bound conjecture in the context of radiation filled, spatially flat, Friedmann-Robertson-Walker models. The bound is violated near the big ban…
Asymptotics and Hamiltonians in a First order formalism
Abhay Ashtekar, Jonathan Engle, David Sloan
We consider 4-dimensional space-times which are asymptotically flat at spatial infinity and show that, in the first order framework, action principle for general relativity is well…
Information is Not Lost in the Evaporation of 2-dimensional Black Holes
Abhay Ashtekar, Victor Taveras, Madhavan Varadarajan
We analyze Hawking evaporation of the Callen-Giddings-Harvey-Strominger (CGHS) black holes from a quantum geometry perspective and show that information is not lost, primarily beca…