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Positive cosmological constant in loop quantum cosmology
Tomasz Pawlowski, Abhay Ashtekar
The k=0 Friedmann Lemaitre Robertson Walker model with a positive cosmological constant and a massless scalar field is analyzed in detail. If one uses the scalar field as relationa…
Loop Quantum Cosmology: A Status Report
Abhay Ashtekar, Parampreet Singh
The goal of this article is to provide an overview of the current state of the art in loop quantum cosmology for three sets of audiences: young researchers interested in entering t…
Probability of Inflation in Loop Quantum Cosmology
Abhay Ashtekar, David Sloan
Inflationary models of the early universe provide a natural mechanism for the formation of large scale structure. This success brings to forefront the question of naturalness: Does…
A Hamiltonian Formulation of the BKL Conjecture
Abhay Ashtekar, Adam Henderson, David Sloan
The Belinskii, Khalatnikov and Lifshitz conjecture \cite{bkl1} posits that on approach to a space-like singularity in general relativity the dynamics are well approximated by `igno…