Quantum cosmology of Bianchi VIII, IX LRS geometries

Autor:	Karagiorgos, A., Pailas, T., Dimakis, N., Papadopoulos, G. O., Terzis, Petros A., Christodoulakis, T.
Rok vydání:	2018
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1088/1475-7516/2019/04/006
Popis:	In the present work we revisit the axisymmetric Bianchi VIII and IX models. At the classical level we reproduce the known analytic solution, in a novel way making use of two quadratic integrals of motion, the constraint equation, as well as a linear non-local integral of motion. These quantities correspond to two second rank Killing tensors and a homothetic vector field existing on the relevant configuration space. On the corresponding phase space the two quadratic charges commute with the Hamiltonian constraint but not among themselves. Thus, after turning these charges into operators we obtain two different solutions to the Wheeler DeWitt equation utilizing each of the quadratic operators. The homothetic vector is then used, as a natural guide line, to define a normalizable conditional probability which assigns zero to the classically collapsed configurations. Comment: LaTeX2e source file, 16 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.10879 Zobrazit plný text záznamu View this record from Arxiv