Towards energy discretization in quantum cosmology

A S Fernandes; R G G Amorim; A J S Capistrano; S C Ulhoa

doi:10.1016/j.heliyon.2019.e01725

Towards energy discretization in quantum cosmology

Heliyon. 2019 May 21;5(5):e01725. doi: 10.1016/j.heliyon.2019.e01725. eCollection 2019 May.

Authors

A S Fernandes¹, R G G Amorim², A J S Capistrano³, S C Ulhoa⁴

Affiliations

¹ Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil.
² Faculdade Gama, Universidade de Brasília, 72444-240, Setor Leste (Gama), Brasília, DF, Brazil.
³ Federal University of Latin-America Integration, Itaipu Technological Park, PO Box 2123, Foz do Iguaçu-PR, 85867-670, Brazil.
⁴ International Center of Physics and Instituto de Física, Universidade de Brasília, 70.910-900, Brasilia, DF, Brazil.

Abstract

In this article we presented an application of the quantum cosmological model in teleparallel gravity. Working with a vacuum solution, the gravitational energy density is quantized with the Weyl procedure and we obtain a discrete expression for the gravitational energy. As an immediate consequence the empty space exhibits an expansion for an early universe.

Keywords: Cosmology.