The Finslerian quantum cosmology
General Physics
2019-11-04 v2
Abstract
We present a Friedmann-Robertson-Walker (FRW) quantum cosmological model within the framework of Finslerian geometry. In this work, we consider a specific fluid. We obtain the corresponding Wheeler-DeWitt equation as the usual constraint equation as well as Schr\"odinger equation following Dirac, although the approaches yields the same equation of time independent equation for the wave function of the universe. We provide exact classical and quantum mechanical solutions. We use the eigenfunctions to study the time evolution of the expectation value of the scale factor. Finally we discuss the physical meaning of the results.
Cite
@article{arxiv.1812.01992,
title = {The Finslerian quantum cosmology},
author = {S S De and Farook Rahaman and Nupur Paul},
journal= {arXiv preprint arXiv:1812.01992},
year = {2019}
}
Comments
To appear in Can.J.Phys