Bogomol'nyi Bounds for Gravitational Cosmic Strings

Details Bogomol'nyi Bounds for Gravitational Cosmic Strings Bogomol'nyi Bounds for Gravitational Cosmic Strings

2008-09-25

arxiv.org/abs/0809.4384v2

JHEP 0901:027,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages - final version (accepted for publication in JHEP)

Scientific paper

10.1088/1126-6708/2009/01/027

We present a new method for finding lower bounds on the energy of topological cosmic string solutions in gravitational field theories. This new method produces bounds that are valid over the entire space of solutions, unlike the traditional approach, where the bounds obtained are only valid for cylindrically symmetric solutions. This method is shown to be a generalisation of the well-known Bogomol'nyi procedure for non-gravitational theories and as such, it can be used to find gravitational Bogomol'nyi bounds for models wherever the traditional Bogomol'nyi procedure can be applied in the non-gravitational limit. Furthermore, this method yields Bogomol'nyi equations that do not rule out the existence of asymmetric bound-saturating solutions.

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