Bogomol'nyi bounds for cosmic strings |
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| Affiliation: | 1. Department of Mathematics Computer, Faculty of Art Science, Eskişehir Osmangazi University, Eşkisehir, Turkey;2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt;3. Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, PO Box 55513-95133, Iran;4. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran |
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| Abstract: | We establish Bogomol'nyi inequalities for the deficit angle of some cylindrically symmetric asymptotically local flat (CALF) spacetimes containing cosmic strings. These results prove the stability against arbitrary cylindrical deformations of those configurations which saturate the bound. Such configuration satisfy first order equations which can, in some cases, be solved exactly. |
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