Skip to main content
SpringerLink
Log in

Generalized global defect solutions

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We investigate the presence of defect structures in generalized models described by a real scalar field in (1,1) space-time dimensions. We work with two distinct generalizations: one in the form of a product of functions of the field and its derivative, and the other as a sum. We search for static solutions and study the corresponding linear stability on general grounds. We illustrate the results with several examples, where we find stable defect structures of modified profile. In particular, we show how the new defect solutions may give rise to evolutions not present in the standard scenario in higher spatial dimensions.

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. R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982)

    MATH  Google Scholar 

  2. A. Vilenkin, E.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge, Cambridge, 1994)

    MATH  Google Scholar 

  3. N. Manton, P. Sutcliffe, Topological Solitons (Cambridge, Cambridge, UK, 2004)

    Book  MATH  Google Scholar 

  4. Y.B. Zeldovish, I.Y. Kobzarev, L.B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1974)

    ADS  Google Scholar 

  5. A. Vilenkin, Phys. Rev. Lett. 46, 1169 (1981)

    Article  ADS  Google Scholar 

  6. P. Sikivie, Phys. Rev. Lett. 48, 1156 (1982)

    Article  ADS  Google Scholar 

  7. B. Holdom, Phys. Rev. D 28, 1419 (1983)

    Article  ADS  Google Scholar 

  8. M. Bucher, D.N. Spergel, Phys. Rev. D 60, 043505 (1999) [arXiv:astro-ph/9812022]

    Article  ADS  Google Scholar 

  9. P.P. Avelino, C.J.A.P. Martins, J. Menezes, R. Menezes, J.C.R.E. Oliveira, Phys. Rev. D 73, 123519 (2006) [arXiv:astro-ph/0602540]

    Article  ADS  Google Scholar 

  10. P.P. Avelino, Phys. Rev. D 73, 123520 (2006) [arXiv:hep-ph/0604250]

    Article  ADS  Google Scholar 

  11. N. Jones, H. Stoica, S.H.H. Tye, JHEP 07, 051 (2002)

    Article  ADS  Google Scholar 

  12. S. Sarangi, S.H.H. Tye, Phys. Lett. B 536, 185 (2002)

    Article  ADS  Google Scholar 

  13. P.J.E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003) [arXiv:astro-ph/0207347]

    Article  ADS  Google Scholar 

  14. T. Padmanabhan, Phys. Rep. 380, 235 (2003) [arXiv:hep-th/0212290]

    Article  ADS  MathSciNet  Google Scholar 

  15. E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006) [hep-th/0603057]

    Article  ADS  Google Scholar 

  16. D. Bazeia, R. Jackiw, Ann. Phys. 270, 246 (1998) [arXiv:hep-th/9803165]

    Article  ADS  Google Scholar 

  17. R. Jackiw, A.P. Polychronakos, Commun. Math. Phys. 207, 107 (1999) [arXiv:hep-th/9809123]

    Article  ADS  Google Scholar 

  18. D. Bazeia, Phys. Rev. D 59, 085007 (1999) [arXiv:hep-th/9811150]

    Article  ADS  MathSciNet  Google Scholar 

  19. A. Kamenshchik, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265 (2001) [arXiv:gr-qc/0103004]

    Article  ADS  Google Scholar 

  20. M.C. Bento, O. Bertolani, A.A. Sen, Phys. Rev. D 66, 043507 (2002) [arXiv:gr-qc/0202064]

    Article  ADS  Google Scholar 

  21. A. A Sen, R.J. Scherrer, Phys. Rev. D 72, 063511 (2005) [arXiv:astro-ph/0507717]

    Article  ADS  Google Scholar 

  22. R. Banerjee, S. Ghosh, Mod. Phys. Lett. A 21, 1511 (2006) [arXiv:gr-qc/0508021]

    Article  ADS  Google Scholar 

  23. R. Banerjee, S. Ghosh, S. Kulkarni, Phys. Rev. D 75, 025008 (2007) [arXiv:gr-qc/0611131]

    Article  ADS  Google Scholar 

  24. C. Armendariz-Picon, T. Damour, V.F. Mukhanov, Phys. Lett. B 458, 209 (1999) [arXiv:hep-th/9904075]

    Article  ADS  MathSciNet  Google Scholar 

  25. J. Garriga, V.F. Mukhanov, Phys. Lett. B 458, 219 (1999) [arXiv:hep-th/9904176]

    Article  ADS  MathSciNet  Google Scholar 

  26. T. Chiba, T. Okabe, M. Yamaguchi, Phys. Rev. D 62, 023511 (2000) [arXiv:astro-ph/9912463]

    Article  ADS  Google Scholar 

  27. R.J. Scherrer, Phys. Rev. Lett. 93, 011301 (2004) [arXiv:astro-ph/0402316]

    Article  ADS  Google Scholar 

  28. C. Armendariz-Picon, E.A. Lim, JCAP 0508, 007 (2005) [arXiv:astro-ph/0505207]

    Article  ADS  Google Scholar 

  29. A.D. Rendall, Class. Quantum Grav. 23, 1557 (2006) [arXiv:gr-qc/0511158]

    Article  ADS  Google Scholar 

  30. A. Sen, Phys. Rev. D 68, 066008 (2003) [arXiv:hep-th/0303057]

    Article  ADS  MathSciNet  Google Scholar 

  31. A. Sen, Int. J. Mod. Phys. A 20, 5513 (2005) [arXiv:hep-th/0410103]

    Article  ADS  Google Scholar 

  32. M. Born, L. Infeld, Proc. R. Soc. London A 144, 425 (1934)

    Article  ADS  Google Scholar 

  33. R. Hobart, Proc. Phys. Soc. (London) 82, 201 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  34. G.H. Derrick, J. Math. Phys. 5, 1252 (1964)

    Article  ADS  Google Scholar 

  35. E. Babichev, Phys. Rev. D 74, 085004 (2006) [arXiv:hep-th/0608071]

    Article  ADS  MathSciNet  Google Scholar 

  36. S.M. Carroll, A. De Felice, V. Duvvuri, D.A. Easson, M. Trodden, M.S. Turner, Phys. Rev. D 71, 063513 (2005) [arXiv:astro-ph/0410031]

    Article  ADS  Google Scholar 

  37. P. Brax, J. Mourad, D.A. Steer, Phys. Lett. B 575, 115 (2003) [arXiv:hep-th/0304197]

    Article  ADS  MathSciNet  Google Scholar 

  38. J.A. Minahan, B. Zwiebach, JHEP 0102, 034 (2001) [arXiv:hep-th/0011226]

    Article  ADS  Google Scholar 

  39. K. Hashimoto, N. Sakai, JHEP 0212, 064 (2002) [arXiv:hep-th/0209232]

    Article  ADS  Google Scholar 

  40. D. Bazeia, R. Menezes, J.G. Ramos, Mod. Phys. Lett. A 20, 467 (2005) [arXiv:hep-th/0401195]

    Article  ADS  Google Scholar 

  41. R. Jackiw, Rev. Mod. Phys. 49, 681 (1977)

    Article  ADS  Google Scholar 

  42. D. Bazeia, J. Menezes, R. Menezes, Phys. Rev. Lett. 91, 241601 (2003) [arXiv:hep-th/0305234]

    Article  ADS  Google Scholar 

  43. D. Bazeia, C. Furtado, A.R. Gomes, JCAP 0402, 002 (2004) [arXiv:hep-th/0308034]

    Article  ADS  Google Scholar 

  44. J. Ipser, P. Sikivie, Phys. Rev. D 30, 712 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  45. J.R. Morris, Phys. Rev. D 51, 697 (1995)

    Article  ADS  Google Scholar 

  46. J.R. Morris, Phys. Rev. D 52, 1096 (1995)

    Article  ADS  Google Scholar 

  47. D. Bazeia, R.F. Ribeiro, M.M. Santos, Phys. Rev. D 54, 1852 (1996)

    Article  ADS  Google Scholar 

  48. D. Bazeia, F.A. Brito, Phys. Rev. D 56, 7869 (1997) [arXiv:hep-th/9706139]

    Article  ADS  Google Scholar 

  49. J.D. Edelstein, M.L. Trobo, F.A. Brito, D. Bazeia, Phys. Rev. D 57, 7561 (1998) [arXiv:hep-th/9707016]

    Article  ADS  MathSciNet  Google Scholar 

  50. D. Bazeia, H. Boschi-Filho, F.A. Brito, JHEP 9904, 028 (1999) [arXiv:hep-th/9811084]

    Article  ADS  Google Scholar 

  51. G. Gibbons, P.K. Townsend, Phys. Rev. Lett. 83, 1727 (1999) [arXiv:hep-th/9905196]

    Article  ADS  Google Scholar 

  52. P.M. Safin, Phys. Rev. Lett. 83, 4249 (1999) [arXiv:hep-th/9907066]

    Article  ADS  MathSciNet  Google Scholar 

  53. D. Bazeia, F.A. Brito, Phys. Rev. Lett. 84, 1094 (2000) [arXiv:hep-th/9908090]

    Article  ADS  MathSciNet  Google Scholar 

  54. H. Oda, K. Ito, M. Naganuma, N. Sakai, Phys. Lett. B 471, 140 (1999) [arXiv:hep-th/9910095]

    Article  ADS  MathSciNet  Google Scholar 

  55. A.A. Izquierdo, M.A. Gonzalez Leon, J. Mateos Guilarte, Phys. Lett. B 480, 373 (2000) [arXiv:hep-th/0002082]

    Article  ADS  MathSciNet  Google Scholar 

  56. D. Bazeia, J. Menezes, M.M. Santos, Phys. Lett. B 521, 418 (2001) [arXiv:hep-th/0110111]

    Article  ADS  MathSciNet  Google Scholar 

  57. D. Bazeia, J. Menezes, M.M. Santos, Nucl. Phys. B 636, 132 (2002) [arXiv:hep-th/0103041]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Paraíba, Brazil

    D. Bazeia, L. Losano & R. Menezes

  2. Centro de Física e Departamento de Física, Universidade do Porto, 4169-007, Porto, Portugal

    J.C.R.E. Oliveira

Authors
  1. D. Bazeia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Losano
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Menezes
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J.C.R.E. Oliveira
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Bazeia.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bazeia, D., Losano, L., Menezes, R. et al. Generalized global defect solutions. Eur. Phys. J. C 51, 953–962 (2007). https://doi.org/10.1140/epjc/s10052-007-0329-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-007-0329-0

Keywords

Search

Navigation