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7 papers · 2 filters
Loop Quantum Cosmology and Boundary Proposals
Martin Bojowald, Kevin Vandersloot
For many years, the most active area of quantum cosmology has been the issue of choosing boundary conditions for the wave function of a universe. Recently, loop quantum cosmology,…
Quantum suppression of the generic chaotic behavior close to cosmological singularities
Martin Bojowald, Ghanashyam Date
In classical general relativity, the generic approach to the initial singularity is very complicated as exemplified by the chaos of the Bianchi IX model which displays the generic…
Linear perturbations of spatially locally homogeneous spacetimes
Masayuki Tanimoto
Methods and properties regarding the linear perturbations are discussed for some spatially closed (vacuum) solutions of Einstein's equation. The main focus is on two kinds of spati…
Smoothness at null infinity and the structure of initial data
Helmut Friedrich
We describe our present understanding of the relations between the behaviour of asymptotically flat Cauchy data for Einstein's vacuum field equations near space-like infinity and t…
On a wave map equation arising in general relativity
Hans Ringstrom
This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.
On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories
Hanno Sahlmann, Thomas Thiemann
Much of the work in loop quantum gravity and quantum geometry rests on a mathematically rigorous integration theory on spaces of distributional connections. Most notably, a diffeom…