Skip to main content
SpringerLink
Log in

Inflationary and dark energy regimes in 2+1 dimensions

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

In this work we investigate the behavior of three-dimensional (3D) cosmological models. The simulation of inflationary and dark-energy-dominated eras are among the possible results in these 3D formulations; taking as starting point the results obtained by Cornish and Frankel. Motivated by those results, we investigate, first, the inflationary case where we consider a two-constituent cosmological fluid: the scalar field represents the hypothetical inflaton which is in gravitational interaction with a matter/radiation contribution. For the description of an old universe, it is possible to simulate its evolution starting with a matter dominated universe that faces a decelerated/accelerated transition due to the presence of the additional constituent (simulated by the scalar field or ruled by an exotic equation of state) that plays the role of dark energy. We obtain, through numerical analysis, the evolution in time of the scale factor, the acceleration, the energy densities, and the hydrostatic pressure of the constituents. The alternative scalar cosmology proposed by Cornish and Frankel is also under investigation in this work. In this case an inflationary model can be constructed when another non-polytropic equation of state (the van der Waals equation) is used to simulate the behavior of an early 3D universe.

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

Similar content being viewed by others

References

  1. Brown, J.D.: Lower dimensional gravity, World Scientific, Singapore, 1993; Grumiller D.: et al., Phys. Rept. 369, 327 (2002)

  2. Giddings, S., Abbott, J., Kuchar, K.: Gen. Rel. Grav. 16, 8 (1983); Barrow, J.D., Burd, A.B., Lancaster, D.: Class. Quant. Grav. 3, 551 (1986)

  3. Cornish N.J., Frankel, N.E.: Phys. Rev. D 43, 2555 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  4. Jackiw, R.: Nucl. Phys. B 252, 343 (1985)

    Article  ADS  Google Scholar 

  5. Zimdahl, W., Pavón, D.: Gen. Rel. Grav. 33, 791 (2001); Prigogine, I., Geheniau, J., Gunzig, E., Nardone, P.: Gen. Rel. Grav. 21, 8 (1989); Kremer, G.M., Devecchi, F.P.: Phys. Rev. D 67, 047301 (2003)

  6. Mann, R.B., Ross, S.F.: Phys. Rev. D 47, 3312 (1993); Cadoni, M., Mignemi, S.: Gen. Rel. Grav. 34, 2101 (2002); Christmann, M.H., Devecchi, F.P., Kremer, G.M., Zanetti, C.M.: Europhys. Lett. 61, 15 (2004)

  7. Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001); Kremer, G.M.: Gen. Rel. Grav. 35, 1459 (2003)

    Google Scholar 

  8. Capozziello, S., Martino, S., Falanga, M.: Phys. Lett. A 299,494 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Kremer, G.M.: Phys. Rev. D 68, 123507 (2003)

    Article  ADS  Google Scholar 

  10. Peebles, P.J.E.: Principles of Physical Cosmology, Princeton University Press, Princeton, 1993

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990, Curitiba, Brazil

    M. H. Christmann, F. P. Devecchi, G. M. Kremer & C. M. Zanetti

Authors
  1. M. H. Christmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. P. Devecchi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. M. Kremer
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. C. M. Zanetti
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. P. Devecchi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Christmann, M.H., Devecchi, F.P., Kremer, G.M. et al. Inflationary and dark energy regimes in 2+1 dimensions. Gen Relativ Gravit 38, 333–344 (2006). https://doi.org/10.1007/s10714-005-0223-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-005-0223-8

Keywords

Search

Navigation