Bogomolnyi Bound with a Cosmological Constant

Details Bogomolnyi Bound with a Cosmological Constant Bogomolnyi Bound with a Cosmological Constant

1998-01-12

arxiv.org/abs/hep-th/9801063v1

Phys.Rev. D58 (1998) 107701

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, RevTeX

Scientific paper

10.1103/PhysRevD.58.107701

Bogomolnyi-type bound is constructed for the topological solitons in O(3) nonlinear $\sigma$ model coupled to gravity with a negative cosmological constant. Spacetimes made by self-dual solutions form a class of G\"{o}del-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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