The modified Friedmann equations

Ch’Ng Han Siong, Shahidan Radiman

Research output: Contribution to journalArticle

Abstract

The Wheeler-DeWitt equation is developed from the Einstein-Hilbert action where the gravity is coupled to the mass-energy and scalar field. The wave function of the universe in Wheeler-DeWitt equation is written in polar form. Subsequently, we obtain the modified Friedmann equation. We then proceed to present the derivation of a more simplified version of modified Friedmann equations where the gravitational part of Einstein-Hilbert action is coupled only to mass-energy. These simplified version of modified first and second Friedmann equations have additional terms which contain the quantum potential energy. We then take an ansatz for the form of amplitude function and find that if the inflationary expansion really happens in the early universe, our universe (for simplicity, spatial curvature k=0) might start to evolve from a non-singularity. Keywords: Canonical quantum cosmology, de Broglie-Bohm interpretation, Modified Friedmann equations, Wheeler-DeWitt equation.

Original languageEnglish
Pages (from-to)121-138
Number of pages18
JournalAdvanced Studies in Theoretical Physics
Volume9
Issue number3
DOIs
Publication statusPublished - 2015

Fingerprint

Modified Equations
Hilbert
Albert Einstein
Polar Form
Energy
Quantum Cosmology
universe
Nonsingularity
Early Universe
Wave Function
Scalar Field
Simplicity
Gravity
Curvature
Term
cosmology
derivation
potential energy
curvature
wave functions

Keywords

  • Canonical quantum cosmology
  • De Broglie-bohm interpretation
  • Modified Friedmann equations
  • Wheeler-DeWitt equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

The modified Friedmann equations. / Siong, Ch’Ng Han; Radiman, Shahidan.

In: Advanced Studies in Theoretical Physics, Vol. 9, No. 3, 2015, p. 121-138.

Research output: Contribution to journalArticle

Siong, Ch’Ng Han ; Radiman, Shahidan. / The modified Friedmann equations. In: Advanced Studies in Theoretical Physics. 2015 ; Vol. 9, No. 3. pp. 121-138.
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