Kaluza-Klein Monopole in AdS Spacetime

Abstract

We construct analogs of the flat space Kaluza-Klein (KK) monopoles in locally Anti-de Sitter (AdS) spaces for $D\ge 5+1$. We show that, unlike the flat space KK monopole, there is no five dimensional static KK monopole in AdS that smoothly reduces to the flat space one as the cosmological constant goes to zero. Thus, one needs at least two extra dimensions, one of which is compact, to get a static KK monopole in cosmological backgrounds.

14 pages, clarifying remarks added, to appear in Phys. Rev. D

References in corpus (4)

• An Alternative to Compactification
• Energy in Generic Higher Curvature Gravity Theories
• A uniqueness theorem for the adS soliton
• Kaluza-Klein Vortices

Cited by in corpus (5)

• Soliton Solutions to the Einstein Equations in Five Dimensions
• On the gravitational energy of the Kaluza Klein monopole
• Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
• Higher dimensional Kaluza-Klein Monopoles
• Neither black-holes nor regular solitons: a no-go theorem