Skip to main content
SpringerLink
Log in

Electrovac universes with a cosmological constant

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

We present the extension of the Einstein-Maxwell system called electrovac universes by introducing a cosmological constant Λ. In the absence of the Λ term, the crucial equation in solving the Einstein-Maxwell system is the Laplace equation. The cosmological constant modifies this equation to become in a nonlinear partial differential equation which takes the form ΔU =2ΛU 3. We offer special solutions of this equation.

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. G. Y. Rainich, T. Am. Math. Soc. 27, 106 (1925)

    Article  MATH  MathSciNet  Google Scholar 

  2. C. W. Misner, J. A. Wheeler, Ann. Phys. 2, 525 (1957)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. S. D. Majumdar, Phys. Rev. 72, 390 (1947)

    Article  ADS  Google Scholar 

  4. A. Papapetrou, Proc. R. Ir. Acad. Sect. A 51, 191 (1947)

    MathSciNet  Google Scholar 

  5. J. L. Synge, The General Theory (North-Holland, Amsterdam, 1960)

    MATH  Google Scholar 

  6. A. K. Raychaudhuri, S. Banerji, A. Banerjee, General Relativity, Astrophysics and Cosmology (Springer-Verlag, New York, 1992)

    Book  Google Scholar 

  7. L. M. Krauss, Astrophys. J. 501, 461 (1998)

    Article  ADS  Google Scholar 

  8. S. Perlmutter, M. S. Turner, M. J. White, Phys. Rev. Lett. 83, 670 (1999)

    Article  ADS  Google Scholar 

  9. A. G. Riess et al., Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  10. D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005)

    Article  ADS  Google Scholar 

  11. M. Nowakowski, Int. J. Mod. Phys. D 10, 649 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. A. Balaguera-Antolinez, C. G. Boehmer, M. Nowakowski, Class. Quant. Grav. 23, (2006) 485

    Article  ADS  MATH  Google Scholar 

  13. J. B. Hartle, Gravity (Addison-Wesley, San Francisco, 2003)

    Google Scholar 

  14. A. D. Polyanin, V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations (Chapman and Hall, Boca Raton, 2004)

    MATH  Google Scholar 

  15. A. D. Polyanin, V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations (Chapman Adan Hall, Boca Raton, 2003)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of South Carolina, 712 Main Street, Columbia, SC, 29208, USA

    Nelson C. Posada-Aguirre

  2. Department of Mathematics, The University of The West Indies, Mona, Jamaica

    Davide Batic

Authors
  1. Nelson C. Posada-Aguirre
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Davide Batic
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nelson C. Posada-Aguirre.

About this article

Cite this article

Posada-Aguirre, N.C., Batic, D. Electrovac universes with a cosmological constant. centr.eur.j.phys. 12, 297–304 (2014). https://doi.org/10.2478/s11534-014-0458-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11534-014-0458-7

Keywords

Search

Navigation