Skip to main content
SpringerLink
Log in

Dust and radiation quantum perfect fluid cosmology: selection of time variable

  • Letter
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We studied the expectation value of the scale factor in radiation and dust quantum perfect fluid cosmology. We used Schutz’s variational formalism to describe the perfect fluid and selected the conjugate coordinate of the perfect fluid to be the dynamical variable. After quantization and solving the Wheeler-DeWitt equation we obtained an exact solution. By superposition of exact solutions, we obtained one wave packet and used it to compute the expectation value of the scale factor. We found that if one selects a different dynamical variable being the time variable in each of these two systems, the expectation value of the scale factor of these two systems can fit in with the prediction of General Relativity. Therefore we thought that the selection of a reference time can be different for different quantum perfect fluid systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Lapchinskii, V.G., Rubakov, V.A.: Theor. Math. Phys. 33, 1076 (1977)

    Article  Google Scholar 

  2. Alvarenga, F.G., Fabris, F.G., Lomes, N.A., Monerat, G.A.: Gen. Relativ. Gravit. 34, 651 (2002)

    Article  Google Scholar 

  3. Batista, A.B., Fabris, J.C., Gonçalves, S.V.B., Tossa, J.: Phys. Rev. D 65, 063519 (2002)

    Article  Google Scholar 

  4. Schutz, B.F.: Phys. Rev. D 2, 2762 (1970); Phys. Rev. D 4, 3553 (1971)

    Google Scholar 

  5. Lemos, N.A.: J. Math. Phys. 37, 1449 (1996)

    Article  Google Scholar 

  6. Formula 3.896-4, Table of Integrals, Series and Products. Academic Press

  7. Formula 6.631-4, Table of Integrals, Series and Products. Academic Press

  8. Barbour, J., Foster, B.Z., Murchadha, N.: Class. Quantum Grav. 19, 3217 (2002) [gr-qc/0012089]

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, National Cheng Kung University, Tainan, Taiwan, 701

    I-Chin Wang

Authors
  1. I-Chin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I-Chin Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, IC. Dust and radiation quantum perfect fluid cosmology: selection of time variable. Gen Relativ Gravit 37, 971–976 (2005). https://doi.org/10.1007/s10714-005-0080-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-005-0080-5

Keywords

Search

Navigation