The Finslerian quantum cosmology
Abstract
We present a FriedmannRobertsonWalker (FRW) quantum cosmological model within the framework of Finslerian geometry. In this work, we consider a specific fluid. We obtain the corresponding WheelerDeWitt equation as the usual constraint equation as well as Schrödinger 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2018
 DOI:
 10.48550/arXiv.1812.01992
 arXiv:
 arXiv:1812.01992
 Bibcode:
 2018arXiv181201992D
 Keywords:

 Physics  General Physics
 EPrint:
 To appear in Can.J.Phys