Bogomolnyi bound with a cosmological constant

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.

sigma model: nonlinear
symmetry: O(3)
dimension: 3
gravitation
cosmological constant
soliton: topological
space-time
particle: massive
spinless
causality

References(22)

Figures(0)

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