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Circular Loop Equation of a Cosmic String in Gauss--Bonnet--de |
| CHENG Hong-Bo;LIU Yun-Qi |
| Department of Physics, East China University of Science and Technology, Shanghai 200237 |
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| Cite this article: |
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CHENG Hong-Bo, LIU Yun-Qi 2008 Chin. Phys. Lett. 25 1160-1163 |
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Abstract We perform the analysis of evolution of cosmic string loops in the background of Gauss--Bonnet--de Sitter. The equation of motion of cosmic string loops in this spacetime is derived. Having solved the equation numerically, we investigate the dependence of the loop evolution on the values of α, related
to the Gauss--Bonnet coupling. In the Gauss--Bonnet--de Sitter spacetimes with different dimensionality there exists a special parameter αm. In the environment with α>αm, all the cosmic string loops will collapse to form black holes. Within the region 0<α<αm, the stronger Gauss--Bonnet effect will lead more cosmic string loops, including smaller ones, to form black holes. The larger the value of α is, the smaller the special values that exist, and only the cosmic string loops with initial radius larger than the special values can expand and evolve instead of becoming black holes.
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| Keywords:
98.80.Cq
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Received: 18 October 2007
Published: 27 February 2008
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| PACS: |
98.80.Cq
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(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
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