Abstract
We show that a static one-dimensional U(1) global string is confined by its own gravitational field to a finite radius. The energy-momentum tensor of a global string decreases exponentially with the distance from its core. We call it self-localization. We show that the order parameter is a decreasing function of the symmetry breaking energy scale. We have found the maximum value of the energy scale ηmax, where the order parameter vanishes. Beyond the maximum value η > ηmax the gravitational field of a global string gets so strong, that it restores the initial unbroken symmetry. In the close vicinity of the maximum value ηmax of the symmetry breaking scale we get a closed-form solution for the metric. It reduces to the Galileo metric on the axis and transforms into the Kasner-type solution near the boundary of a string.
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REFERENCES
Vilenkin, A., and Shellard, E. P. S. Cosmic Strings and other Topological Defects (Cambridge University Press, Cambridge, 1994).
Harari, D., and Sikivie, P. (1988). The gravitational field of a global string. Phys. Rev. D 37, 3488.
Meierovich, B. E., and Podolyak, E. R. Gravity of supermassive U(1) gauge cosmic strings. (To be published in Phys. Rev. D).
Gregory, R. (1988). Global string singularities. Phys. Lett. B 215, 663.
Gibbons, G. W., Ortis, M. E., and Ruiz, E. (1989). Existence of a global strings, coupled to gravity. Phys. Rev. D 39, 1546.
Cohen, A. G., and Kaplan, D. B. (1988). The exact metric about global cosmic string. Phys. Lett. B 215, 67.
Bronnikov, K. A. (1979). J. Phys. A 12, 201.
Meierovich, B. E. (1997). Zh. Éksp. Teor. Fiz. 112, 385 [Sov. Phys. JETP 85, 209 (1997)]; (1997) Gravitation & Cosmology 3, 29; (2000) Phys. Rev. D 61, 024004.
Kasner, E. (1921). Amer. J. Math. 43, 217.
Harari, D., and Polychronakos, A. P. (1990). A global string with an event horizon. Phys. Lett. B 240, 55.
Penrose, R. (1969). Gravitational collapse: the role of general relativity. Rivista del Nuovo Cim., 1, 252.
Linde, A. (1994). Phys. Lett. B 327, 208.
Vilenkin, A. (1994). Topological inflation. Phys. Rev. Lett. 72, 3137.
De Laix, A., Trodden, M., and Vachaspati, T. (1998). Topological inflation with multiple winding. Phys. Rev. D 57, 7186.
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Meierovich, B.E. Gravity of Global U(1) Cosmic String. General Relativity and Gravitation 33, 405–414 (2001). https://doi.org/10.1023/A:1010284405468
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DOI: https://doi.org/10.1023/A:1010284405468