Can quantum gravitational effects influence the entire history of the Universe?

Edésio M. Barboza, Jr. and Nivaldo A. Lemos
Phys. Rev. D 78, 023504 – Published 3 July 2008

Abstract

In this work, a flat Friedmann-Robertson-Walker universe with dust and a cosmological constant is quantized. By means of a canonical transformation, the classical Hamiltonian is reduced to that of either a harmonic oscillator or anti-oscillator, depending on whether Λ<0 or Λ>0, respectively. In this way, exact solutions to the Wheeler-DeWitt equation can easily be obtained. It turns out that a positive cosmological constant alone may account for an early inflationary regime and a later accelerated expansion phase, with a period of decelerated expansion in between. This suggests that quantum-gravitational effects can influence most of the history or even the entire history of the Universe.

  • Received 20 December 2007

DOI:https://doi.org/10.1103/PhysRevD.78.023504

©2008 American Physical Society

Authors & Affiliations

Edésio M. Barboza, Jr.1,* and Nivaldo A. Lemos2,†

  • 1Departamento de Astronomia, Observatório Nacional, 20921-400, Rio de Janeiro, Brazil
  • 2Instituto de Física, Universidade Federal Fluminense, 24210-340, Niterói, Brazil

  • *edesio@on.br
  • nivaldo@if.uff.br

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Issue

Vol. 78, Iss. 2 — 15 July 2008

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