New branches of electrically charged Einstein-Yang-Mills-Higgs solutions

Rustam Ibadov1, Burkhard Kleihaus2 Jutta Kunz and Ulrike Neemann3

Abstract

We consider dyons and electrically charged monopole-antimonopole pairs in Einstein-Yang-Mills-Higgs theory. In the presence of an electric charge, bifurcations arise and new branches of solutions appear. For large values of the electric charge, spherically symmetric dyons approach limiting solutions related to the Penney solution of Einstein-Maxwell-scalar theory.

References

  1. G. 't Hooft, Nucl. Phys. B79, 276 (1974); A. M. Polyakov, Pis'ma JETP 20, 430 (1974).
  2. E. J. Weinberg and A. H. Guth, Phys. Rev. D 14, 1660 (1976).
  3. C. Rebbi and P. Rossi, Phys. Rev. D 22, 2010 (1980).
  4. R. S. Ward, Commun. Math. Phys. 79, 317 (1981); P. Forgacs, Z. Horvath, and L. Palla, Phys. Lett. 99B, 232 (1981); M. K. Prasad, Commun. Math. Phys. 80, 137 (1981); M. K. Prasad and P. Rossi, Phys. Rev. D 24, 2182 (1981).
  5. B. Kleihaus, J. Kunz, and D. H. Tchrakian, Mod. Phys. Lett. A 13, 2523 (1998).
  6. N. J. Hitchin, N. S. Manton and M. K. Murray, Nonlinearity 8, 661 (1995); C. J. Houghton and P. M. Sutcliffe, Commun. Math. Phys. 180, 343 (1996); C. J. Houghton and P. M. Sutcliffe, Nonlinearity 9, 385 (1996); P. M. Sutcliffe, Int. J. Mod. Phys. A 12, 4663 (1997); C. J. Houghton, N. S. Manton and P. M. Sutcliffe, Nucl. Phys. B 510, 507 (1998).
  7. C. H. Taubes, Commun. Math. Phys. 86, 257 (1982); 86, 299 (1982); 97, 473 (1985).
  8. W. Nahm, unpublished; B. Ruber, PhD thesis, University of Bonn, 1985.
  9. B. Kleihaus and J. Kunz, Phys. Rev. D61, 025003 (2000).
  10. B. Kleihaus, J. Kunz, and Ya. Shnir, Phys. Lett. 570B, 237 (2003); Phys. Rev. D 68, 101701(R) (2003); Phys. Rev. D 70, 065010 (2004).
  11. J. Kunz, U. Neemann, and Ya. Shnir, Phys. Lett. 640B, 57 (2006).
  12. B. Julia and A. Zee, Phys. Rev. D 11, 2227 (1975); M. K. Prasad, and C. M. Sommerfeld, Phys. Rev. Lett. 35, 760 (1975).
  13. B. Hartmann, B. Kleihaus, and J. Kunz, Mod. Phys. Lett. A 15, 1003 (2000).
  14. M. Heusler, N. Straumann, and M. Volkov, Phys. Rev. D 58, 105021 (1998).
  15. J. J. van der Bij and E. Radu, Int. J. Mod. Phys. A 17, 1477 (2002); A 18 (2003) 2379.
  16. K. Lee, V. P. Nair, and E. J. Weinberg, Phys. Rev. D 45, 2751 (1992); P. Breitenlohner, P. Forgacs, and D. Maison, Nucl. Phys. B 383, 357 (1992); B 442, 126 (1995).
  17. Y. Brihaye, B. Hartmann, and J. Kunz, Phys. Lett. 441B, 77 (1998); Y. Brihaye, B. Hartmann, J. Kunz, and N. Tell, Phys. Rev. D 60, 104016 (1999).
  18. B. Hartmann, B. Kleihaus, and J. Kunz, Phys. Rev. Lett. 86, 1422 (2001); Phys. Rev. D 65, 024027 (2001).
  19. B. Kleihaus and J. Kunz, Phys. Rev. Lett. 85, 2430 (2000).
  20. V. Paturyan, E. Radu, and D. H. Tchrakian, Phys. Lett. 609B, 360 (2005).
  21. B. Kleihaus, J. Kunz, and U. Neemann, Phys. Lett. 623 B, 171 (2005).
  22. B. Kleihaus, J. Kunz, F. Navarro-Lerida, and U. Neemann, arXiv: 0705.1511 [gr-qc].
  23. B. Kleihaus, J. Kunz, and Ya. Shnir, Phys. Rev. D 71, 024013 (2005); J. Kunz, U. Neemann, and Ya. Shnir, Phys. Rev. D 75, 125008 (2007).
  24. R. Bartnik and J. McKinnon, Phys. Rev. Lett. 61, 141 (1988).
  25. B. Kleihaus and J. Kunz, Phys. Rev. Lett. 78, 2527 (1997); Phys. Rev. D 57, 834 (1998).
  26. R. Ibadov, B. Kleihaus, J. Kunz and Ya. Shnir, Phys. Lett. 609B, 150 (2005).
  27. R. Ibadov, B. Kleihaus, J. Kunz and U. Neemann, arXiv: 0709.0285 [gr-qc].
  28. R. Penney, Phys. Rev. 182, 1383 (1969).
  29. B. Kleihaus and J. Kunz, Phys. Rev. Lett. 86, 3704 (2001); B. Kleihaus, J. Kunz, and F. Navarro-Lerida, Phys. Rev. D 66, 104001 (2002).
  30. B. Kleihaus, J. Kunz and F. Navarro-Lerida, Phys. Lett. 599B, 294 (2004).
  31. W. Schonauer and R. Weis, J. Comput. Appl. Math. 27, 279 (1989); M. Schauder, R. Weis and W. Schonauer, The CADSOL Program Package, Universitat Karlsruhe, Interner Bericht Nr. 46/92 (1992).
  32. A. A. Ershov and D. V. Galtsov, Phys. Lett. 150A, 159 (1990).
  33. P. Bizon and O. T. Popp, Class. Quantum Grav. 9, 193 (1992).
  34. B. Kleihaus, J. Kunz and K. Myklevoll, Phys. Lett. 632B, 333 (2006); hep-th/0509106.
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