Bogomol'nyi bounds for cosmic strings

Physics – Nuclear Physics

Scientific paper

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Scientific paper

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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