Skip to main content
SpringerLink
Log in

Theoretical construction of stable traversable wormholes

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

It is shown in this paper that it is possible, at least in principle, to construct a traversable wormhole that is stable to linearized radial perturbations by specifying relatively simple conditions on the shape and redshift functions.

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. M. S. Morris, K. S. Thorne, Am. J. Phys. 56, 395 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  2. E. Poisson, M. Visser, Phys. Rev. D 52, 7318 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  3. J. P. S. Lemos, F. S. N. Lobo, S. Q. de Oliveira, Phys. Rev. D 68, 064004, (2003)

    Article  ADS  Google Scholar 

  4. F. S. N. Lobo, Classical Quant. Grav. 21, 4811 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. F. S. N. Lobo, Classical Quant. Grav. 23, 1525 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. F. S. N. Lobo, P. Crawford, Classical Quant. Grav. 22, 4869 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. J. P. S. Lemos, F. S. N. Lobo, Phys. Rev. D 78, 044030 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  8. M. Ishak, K. Lake, Phys. Rev. D 65, 044011 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  9. F. S. N. Lobo, P. Crawford, Classical Quant. Grav. 21, 391 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. F. S. N. Lobo, Phys. Rev. D 71, 124022 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  11. H. Shinkai, S. A. Hayward, Phys. Rev. D 66, 044005 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  12. K. A. Bronnikov, G. Clement, C. P. Constantinidis, J. C. Fabris, Phys. Lett. A 243, 121 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  13. J. A. Gonzales, F. S. Guzman, O. Sarbach, Classical Quant. Grav. 26, 015010 (2009)

    Article  ADS  Google Scholar 

  14. J. A. Gonzales, F. S. Guzman, O. Sarbach, Classical Quant. Grav. 26, 015011 (2009)

    Article  ADS  Google Scholar 

  15. E. F. Eiroa, C. Simeone, Phys. Rev. D 76, 024021 (2007)

    Article  ADS  Google Scholar 

  16. R. A. Konoplya, C. Molina, Phys. Rev. D 71, 124009 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  17. S. V. Sushkov, Y.-Z. Zhang, Phys. Rev. D 77, 024042 (2008)

    Article  ADS  Google Scholar 

  18. S. Sushkov, Phys. Rev. D 71, 043520 (2005)

    Article  ADS  Google Scholar 

  19. F. S. N. Lobo, Phys. Rev. D 73, 064028 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  20. W. Israel, Nuovo Cimento 44B, 1 (1966) (corrections in 48B)

    ADS  Google Scholar 

  21. M. Visser, Lorentzian Wormholes: From Einstein to Hawking (American Institute of Physics, New York, 1995) chapter 14

    Google Scholar 

  22. L. Schwartz, Théorie des distributions (Hermann & Cie, Paris, 1950)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Milwaukee School of Engineering, Milwaukee, WI, 53202-3109, USA

    Peter K. F. Kuhfittig

Authors
  1. Peter K. F. Kuhfittig
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Peter K. F. Kuhfittig.

About this article

Cite this article

Kuhfittig, P.K.F. Theoretical construction of stable traversable wormholes. centr.eur.j.phys. 8, 364–368 (2010). https://doi.org/10.2478/s11534-009-0099-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11534-009-0099-4

Keywords

Search

Navigation