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arXiv · hep-th/9801063

Bogomolnyi Bound with a Cosmological Constant

Yoonbai Kim·Kyoungtae Kimm
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Abstract

Bogomolnyi-type bound is constructed for the topological solitons in O(3) nonlinear $σ$ model coupled to gravity with a negative cosmological constant. Spacetimes made by self-dual solutions form a class of Gödel-type universe. In the limit of a spinless massive point particle, the obtained stationary metric does not violate the causality and it is a new point particle solution different from the known static hyperboloid and black hole. We also showed that static Nielsen-Olesen vortices saturate Bogomolnyi-type bound only when the cosmological constant vanishes.

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Yoonbai Kim, Kyoungtae Kimm. 1998-01-12. Bogomolnyi Bound with a Cosmological Constant. https://doi.org/10.1103/physrevd.58.107701

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