Skip to main content
SpringerLink
Log in

Intersecting Electric and Magnetic p-branes: Spherically Symmetric Solutions

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

Abstract

We consider a D-dimensional self-gravitatingspherically symmetric configuration of a generalizedelectro-magnetic n-form F and a dilatonic scalar field,admitting an interpretation in terms of intersecting p-branes. For theories with additional(internal) times, selection rules are obtained, whichobstruct the existence of p-branes in certain subspaces.General static solutions are obtained under a specific restriction on the model parameters, whichcorresponds to certain orthogonality relations in thetarget-space of effective fields. More special familiesof solutions (with equal charges for some of the F-field components) are found with weakenedrestrictions on the input parameters. Black-holesolutions are determined, and it is shown that in theextreme limit the Hawking temperature may tend to zero, a finite value, or infinity, depending on thep-brane intersection dimension. A kind of no-hairtheorem is obtained, claiming that black holes cannotcoexist with a quasiscalar component of theF-field.

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

Article Open access 16 November 2015

REFERENCES

  1. Hull, C., and Townsend, P. (1995). Nucl. Phys. B 438, 109; Horava, P., and Witten, E. (1996). Nucl. Phys. B 460, 506; (1996). Nucl. Phys. B 475, 94.

    Google Scholar 

  2. Schwarz, J. (1997). Nucl. Phys. Proc. Suppl. 55B, 1.

    Google Scholar 

  3. Stelle, K. S. (1997). “Lectures on Supergravity p-branes”, presented at 1996 ICTP Summer School, hep-th/9701088.

  4. Duff, M. J. (1996). Int. J. Mod. Phys. A 11, 5623.

    Google Scholar 

  5. Gauntlett, J. P. (1997). “Intersecting Branes”, Preprint QMW-PH-97–13, hep-th/9705011.

  6. Cremmer, E., Julia, B., and Scherk, J. (1978). Phys. Lett. B 76, 409.

    Google Scholar 

  7. Salam, A., and Sezgin, E. eds. (1989). Supergravities in Diverse Dimensions, reprints in 2 vols. (World Scientific, Singapore).

  8. Papadopoulos, G., and Townsend, P. K. (1996). Phys. Lett. B 380, 273; (1997). Phys. Lett. B 393, 59.

    Google Scholar 

  9. Khvengia, N., Khvengia, Z., Lü, H., Pope, C. N. (1996). Phys. Lett. B 388, 21.

    Google Scholar 

  10. Tseytlin, A. A. (1996). Nucl. Phys. B 475, 149.

    Google Scholar 

  11. Klebanov, I. R., and Tseytlin, A. A. (1996). Nucl. Phys. B 475, 164; (1996). Nucl. Phys. B 475, 179.

    Google Scholar 

  12. Bronnikov, K. A., and Fabris, J. C. (1996). Gravit. Cosmol. 2, 306.

    Google Scholar 

  13. Lü, H., Pope, C. N., and Xu, K. W. (1996). Mod. Phys. Lett. A 11, 1785.

    Google Scholar 

  14. Ivashchuk, V. D., and Melnikov, V. N. (1996). Gravit. Cosmol. 2, 297; hep-th/9612089.

    Google Scholar 

  15. Ivashchuk, V. D., and Melnikov, V. N. (1996). Phys. Lett. B 384, 58.

    Google Scholar 

  16. Aref'eva, I. Ya., Ivanov, M. G., and Rytchkov, O. A. “Properties of Intersecting p-branes in Various Dimensions.” Preprint SMI-05–97, hep-th/9702077.

  17. Aref'eva, I. Ya., Ivanov, M. G., and Volovich, I. V. (1997). Phys. Lett. B 406, 44.

    Google Scholar 

  18. Ivashchuk, V. D., Melnikov, V. N., and Rainer, M. (1998). Gravit. Cosmol. 4, 73.

    Google Scholar 

  19. Rainer, M. (1998). Hadronic J. 21, 351.

    Google Scholar 

  20. Rainer, M. (1995). Int. J. Mod. Phys. D 4, 397.

    Google Scholar 

  21. Rainer, M. (1995). Gravit. Cosmol. 1, 121.

    Google Scholar 

  22. Rainer, M., and Zhuk, A. (1996). Phys. Rev. D 54, 6186.

    Google Scholar 

  23. Rainer, M., and Zhuk, A. Gen. Rel. Grav., inprint.

  24. Bronnikov, K. A. (1973). Acta Phys. Polon. B 4, 251.

    Google Scholar 

  25. Bars, I., and Kounnas, C. (1997). Phys. Lett. B 402, 25.

    Google Scholar 

  26. Rainer, M. (1997). “Effective multi-scalar-tensor theories and σ-models from multidimensional gravity” Preprint Math-97/4, University of Potsdam.

  27. Bronnikov, K. A. (1995). Gravit. Cosmol. 1, 67.

    Google Scholar 

  28. Wald, R. M. (1984). General Relativity (University of Chicago Press, Chicago).

    Google Scholar 

  29. Argurio, R., Englert, F., and Hourant, L. (1997). Phys. Lett. B 398, 61.

    Google Scholar 

  30. Bergshoeff, E., de Roo, M., Eyras, E., Janssen, B., and van der Schaar, J. P. (1997). Nucl. Phys. B 494, 119.

    Google Scholar 

  31. Tseytlin, A. A. (1997). Class. Quantum Grav. 14, 2085.

    Google Scholar 

Download references

Authors
  1. K. A. Bronnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. U. Kasper
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Rainer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bronnikov, K.A., Kasper, U. & Rainer, M. Intersecting Electric and Magnetic p-branes: Spherically Symmetric Solutions. General Relativity and Gravitation 31, 1681–1702 (1999). https://doi.org/10.1023/A:1026710132585

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026710132585

Keywords

Search

Navigation