311 citations
7 papers
Gravitational Billiards, Dualities and Hidden Symmetries
H. Nicolai
The purpose of this article is to highlight the fascinating, but only very incompletely understood relation between Einstein's theory and its generalizations on the one hand, and t…
Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology
Martin Bojowald, Adam Rej
In loop quantum cosmology, a difference equation for the wave function describes the evolution of a universe model. This is different from the differential equations that arise in…
Algebraic expansions for curvature coupled scalar field models
Roger Bieli
A late time asymptotic perturbative analysis of curvature coupled complex scalar field models with accelerated cosmological expansion is carried out on the level of formal power se…
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…
Symmetrization of Brace Algebras
Marilyn Daily, Tom Lada
We show that the symmetrization of a brace algebra structure yields the structure of a symmetric brace algebra.
The Early Universe in Loop Quantum Cosmology
Martin Bojowald
Loop quantum cosmology applies techniques derived for a background independent quantization of general relativity to cosmological situations and draws conclusions for the very earl…