Open FRW model in Loop Quantum Cosmology
General Relativity and Quantum Cosmology
2008-11-26 v4
Abstract
Open FRW model in Loop Quantum Cosmology is under consideration. The left and right invariant vector fields and holonomies along them are studied. It is shown that in the hyperbolic geometry of it is possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by Vandersloot. The quantum scalar constraint operator with negative cosmological constant is proved to be essentially self-adjoint.
Keywords
Cite
@article{arxiv.0707.1816,
title = {Open FRW model in Loop Quantum Cosmology},
author = {Lukasz Szulc},
journal= {arXiv preprint arXiv:0707.1816},
year = {2008}
}
Comments
12 pages, no figures, latex