Abstract
Multidimensional configurations with a Minkowski external spacetime and a spherically symmetric global monopole in extra dimensions are discussed in the context of the braneworld concept. The monopole is formed with a hedgehoglike set of scalar fields φi with a symmetry-breaking potential V depending on the magnitude φ2 = φiφi. All possible kinds of globally regular configurations are singled out without specifying the shape of V(φ). These variants are governed by the maximum value φm of the scalar field, characterizing the energy scale of symmetry breaking. If φm < φcr (where φcr is a critical value of φ related to the multidimensional Planck scale), the monopole reaches infinite radii, whereas in the “strong field regime,” when φm ≥ φcr, the monopole may end with a finite-radius cylinder or have two regular centers. The warp factors of monopoles with both infinite and finite radii may either exponentially grow or tend to finite constant values far from the center. All such configurations are shown to be able to trap test scalar matter, in striking contrast to RS2 type five-dimensional models. The monopole structures obtained analytically are also found numerically for the Mexican hat potential with an additional parameter acting as a cosmological constant.
Similar content being viewed by others
References
K. Akama, Lect. Notes Phys. 176, 267 (1982); V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. B 125, 136 (1983); M. Visser, Phys. Lett. B 159, 22 (1985); I. Antoniadis, Phys. Lett. B 246, 377 (1985); M. Pavšič, Phys. Lett. A 116, 1 (1986); gr-qc/0101075; Nuovo Cimento A 95, 297 (1986); E. J. Squires, Phys. Lett. B 167, 286 (1986); G. W. Gibbons and D. L. Wiltshire, Nucl. Phys. B 287, 717 (1987).
P. Horava and E. Witten, Nucl. Phys. B 460, 506 (1996); Nucl. Phys. B 475, 94 (1996); E. Witten, Nucl. Phys. B 471, 135 (1996).
V. A. Rubakov, Usp. Fiz. Nauk 171, 913 (2001) [Phys. Usp. 44, 871 (2001)]; F. Quevedo, Class. Quantum Grav. 19, 5721 (2002); S. Nojiri, S. D. Odintsov, and S. Ogushi, Int. J. Mod. Phys. A 17, 4809 (2002); P. Brax and C. van de Bruck, hep-th/0303095; R. Maartens, Living Rev. Rel. 7, 7 (2004); gr-qc/0312059; P. Kanti, Int. J. Mod. Phys. A 19, 4899 (2004); hep-ph/0402168.
L. Rundall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
D. A. Kirzhnits, Pis’ma Zh. Éksp. Teor. Fiz. 15, 745 (1972) [JETP Lett. 15, 529 (1972)].
Ya. B. Zel’dovich, I. Yu. Kobzarev, and L. B. Okun’, Zh. Éksp. Teor. Fiz. 67, 3 (1974) [Sov. Phys. JETP 40, 1 (1975)].
A. H. Guth, Phys. Rev. D 23, 347 (1981); A. D. Linde, Phys. Lett. B 114, 431 (1982); V. A. Berezin, V. A. Kuzmin, and I. I. Tkachev, Phys. Lett. B 120, 91 (1983); 124, 479 (1983).
A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge Univ. Press, Cambridge, 1994).
C. Csaki, J. Erlich, T. J. Hollowood, and Y. Shirman, Nucl. Phys. B 581, 309 (2000); D. Bazeia, F. A. Brito, and J. R. Nascimento, Phys. Rev. D 68, 085007 (2003); S. Kobayashi, K. Koyama, and J. Soda, Phys. Rev. D 65, 064014 (2002); A. Melfo, N. Pantoja, and A. Skirzewski, Phys. Rev. D 67, 105003 (2003).
K. A. Bronnikov and B. E. Meierovich, Gravit. Cosmol. 9, 313 (2003); gr-qc/0402030.
S. T. Abdyrakhmanov, K. A. Bronnikov, and B. E. Meierovich, Gravit. Cosmol. 11, 82 (2005); gr-qc/0503055.
I. Olasagasti and A. Vilenkin, Phys. Rev. D 62, 044014 (2000); hep-th/0003300.
E. Roessl and M. Shaposhnikov, Phys. Rev. D 66, 084008 (2002); hep-th/0205320.
K. A. Bronnikov and B. E. Meierovich, Zh. Éksp. Teor. Fiz. 124, 5 (2003) [JETP 97, 1 (2003)]; gr-qc/0301084.
B. E. Meierovich, Usp. Fiz. Nauk 171, 1033 (2001) [Phys. Usp. 44, 981 (2001)].
K. A. Bronnikov, B. E. Meierovich, and E. R. Podolyak, Zh. Éksp. Teor. Fiz. 122, 459 (2002) [JETP 95, 392 (2002)].
I. Cho and A. Vilenkin, gr-qc/9708005.
K. Benson and I. Cho, hep-th/0104067.
B. Bajc and G. Gabadadze, Phys. Lett. B 474, 282 (2000).
I. Oda, Phys. Rev. D 62, 126009 (2000).
M. Gogberashvili and P. Midodashvili, Phys. Lett. B 515, 447 (2001); Europhys. Lett. 61, 308 (2003); M. Gogberashvili and D. Singleton, hep-th/0305241; I. Oda, Phys. Lett. B 571, 235 (2003).
M. Gogberashvili and D. Singleton, Phys. Lett. B 582, 95 (2004).
Author information
Authors and Affiliations
Additional information
From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 128, No. 6, 2005, pp. 1184–1200.
Original English Text Copyright © 2005 by Bronnikov, Meierovich.
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Bronnikov, K.A., Meierovich, B.E. Gravitating global monopoles in extra dimensions and the braneworld concept. J. Exp. Theor. Phys. 101, 1036–1052 (2005). https://doi.org/10.1134/1.2163920
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.2163920