Year: 2012
Type: preprint
Abstract: In this paper we apply the ideas put forward by Hořava, and introduce anisotropic transformations to cosmology. We start with the Kantowski-Sachs cosmological model and impose anisotropic transformation invariance on the minisuperspace variables. We study the symmetries of the anisotropic model and by canonical quantization find a Schrödinger type equation for $z\ne 1$. Finally, we conclude that introducing anistropic invariance can be considered a solution to the problem of time in quantum cosmology and gives some insight on the structure of a well behaved quantum theory of gravity.
Source: arXiv (Cornell University)
Authors: Chagoya, J. F., Sabido, M.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1484025438