The Kahler Cone as Cosmic Censor

Abstract

M-theory effects prevent five-dimensional domain-wall and black-hole solutions from developing curvature singularities. While so far this analysis was performed for particular models, we now present a model-independent proof that these solutions do not have naked singularities as long as the Kahler moduli take values inside the extended Kahler cone. As a by-product we obtain information on the regularity of the Kahler-cone metric at boundaries of the Kahler cone and derive relations between the geometry of moduli space and space-time.

21 pages, 1 figure. Improved discussion of the relation between Kahler moduli and five-dimensional scalars. No changes in the conclusions

References in corpus (7)

• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• String loop corrections to the universal hypermultiplet
• Effective Supergravity Actions for Flop Transitions
• Strings in Singular Time-Dependent Backgrounds
• Effective Actions near Singularities
• Topological Transitions and Enhancon-like Geometries in Calabi-Yau Compactifications of M-Theory
• Singular compactifications and cosmology

Cited by in corpus (8)

• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• Completeness in supergravity constructions
• Quantum Mechanics Model on Kähler conifold
• Special Geometry, Hessian Structures and Applications
• Nernst branes from special geometry
• Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry
• Space-Time Singularities and the Kahler Cone
• Supergravity on R4 x S1/Z2 and singular Calabi-Yaus