Derivation of friedmann's acceleration equation from canonical quantum cosmology

Ch'ng Han Siong, Shahidan Radiman

Research output: Contribution to journalArticle

Abstract

It is well known that in Standard Cosmology, the Friedmann equations are derived from Einstein's field equations for a spatially homogeneous and isotropic universe. They are important in describing the evolution of the universe. The Friedmann equations consist of two independent equations which are usually called the first and second Friedmann equations. The first and second Friedmann equations contain, respectively, the first and second derivatives of scale factor with respect to time. Hence, the second Friedmann equation is also named as Friedmann's acceleration equation. In a previous paper [16], we have derived the first Friedmann equation (k=0) from de Broglie-Bohm interpretation in canonical quantum cosmology. In this paper, we derive the second Friedmann equation (Friedmann's acceleration equation) as well as presenting the derivation of the first Friedmann equation (k=0).

Original languageEnglish
Pages (from-to)515-525
Number of pages11
JournalAdvanced Studies in Theoretical Physics
Volume7
Issue number9-12
Publication statusPublished - 2013

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Quantum Cosmology
cosmology
derivation
universe
Scale factor
Second derivative
Cosmology
Albert Einstein

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Derivation of friedmann's acceleration equation from canonical quantum cosmology. / Siong, Ch'ng Han; Radiman, Shahidan.

In: Advanced Studies in Theoretical Physics, Vol. 7, No. 9-12, 2013, p. 515-525.

Research output: Contribution to journalArticle

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