Skip to main content
SpringerLink
Log in

Spherically Symmetric Vacuum Brane and Wormhole Solutions

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In this letter, we have obtained static, spherically symmetric solutions of the effective vacuum Einstein field equations on a brane embedded in a five dimensional space time. The effective stress tensor is induced by the interaction with the bulk gravitational field and is given by the electric part of the five dimensional Weyl tensor. Due to traceless nature of this non-local effect of the bulk, any solution of  (4) R=0 is a possible solution of the vacuum brane. We have derived a class of solutions, which corresponds to wormhole solution. Physical properties and characteristics of the wormhole are studied.

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. Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 3370 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. Maartens, R.: Geometry and dynamics of the brane world. gr-qc/0101059 (2001)

  4. Langlois, D.: Gravitation and cosmology in a brane universe. gr-qc/0207047 (2002)

  5. Horava, P., Witten, E.: Nucl. Phys. B 460, 506 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  6. Horava, P., Witten, E.: Nucl. Phys. B 475, 94 (1996)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Shiromizu, T., Maeda, K.I., Sasaki, M.: Phys. Rev. D 62, 024012 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  8. Vollick, D.: Gen. Relativ. Gravit. 34, 1 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. Moris, M.S., Thorne, K.S.: Am. J. Phys. 56, 395 (1988)

    Article  ADS  Google Scholar 

  10. Visser, M.S.: Lorentzian Wormholes: From Einstein to Hawking. AIP, New York (1995)

    Google Scholar 

  11. Reiss, A., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  12. Perlmutter, S.J., et al.: Astrophys. J. 517, 565 (1999)

    Article  Google Scholar 

  13. Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)

    Article  ADS  Google Scholar 

  14. Israel, W.: Nuovo Cim. B 44, 1 (1966); and corrections in Nuovo Cim. B 48, 463 (1966)

    Article  ADS  Google Scholar 

  15. Darmois, G.: Memorial Des Sciences Mathematiques XXV, Fascicule XXV. Gauthier-Villars, Paris (1927), Chap. V

    Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  17. Lobo, F.S.N., Crawford, P.: Class. Quantum Gravity 22, 4869 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Lobo, F.S.N.: Phys. Rev. D 71, 084011 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  19. Lobo, F.S.N.: Phys. Rev. D 75, 064027 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  20. Chamblin, A., Hawking, S.W., Reall, H.S.: Phys. Rev. D 61, 065007 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  21. Vollick, D.: Gen. Relativ. Gravit. 34, 471 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  22. Dadhich, N., Maartens, R., Papadopoulos, P., Rezania, V.: Phys. Lett. B 487, 1 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. Bronnikov, K.A., Kim, S.W.: Phys. Rev. D 67, 064027 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  24. Germani, C., Maartens, R.: Phys. Rev. D 64, 124010 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  25. Casadio, R., Fabbri, A., Mazzacurati, L.: Phys. Rev. D 65, 084040 (2001)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Subenoy Chakraborty, Soma Nath & Tanwi Bandyopadhyay

Authors
  1. Subenoy Chakraborty
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Soma Nath
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tanwi Bandyopadhyay
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Subenoy Chakraborty.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chakraborty, S., Nath, S. & Bandyopadhyay, T. Spherically Symmetric Vacuum Brane and Wormhole Solutions. Int J Theor Phys 48, 29–35 (2009). https://doi.org/10.1007/s10773-008-9778-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-008-9778-y

Keywords

Search

Navigation