### 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 language | English |
---|---|

Pages (from-to) | 515-525 |

Number of pages | 11 |

Journal | Advanced Studies in Theoretical Physics |

Volume | 7 |

Issue number | 9-12 |

Publication status | Published - 2013 |

### Fingerprint

### 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

*Advanced Studies in Theoretical Physics*,

*7*(9-12), 515-525.

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

Research output: Contribution to journal › Article

*Advanced Studies in Theoretical Physics*, vol. 7, no. 9-12, pp. 515-525.

}

TY - JOUR

T1 - Derivation of friedmann's acceleration equation from canonical quantum cosmology

AU - Siong, Ch'ng Han

AU - Radiman, Shahidan

PY - 2013

Y1 - 2013

N2 - 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).

AB - 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).

KW - Canonical quantum cosmology

KW - De broglie-bohm interpretation

KW - Friedmann equations

KW - Wheeler-DeWitt equation

UR - http://www.scopus.com/inward/record.url?scp=84878820792&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878820792&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84878820792

VL - 7

SP - 515

EP - 525

JO - Advanced Studies in Theoretical Physics

JF - Advanced Studies in Theoretical Physics

SN - 1313-1311

IS - 9-12

ER -