A criterion for admissible singularities in brane world

Abstract

When gravity couples to scalar fields in Anti-de Sitter space, the geometry becomes non-AdS and develops singularities generally. We propose a criterion that the singularity is physically admissible if the integral of the on-shell Lagrangian density over the finite range is finite everywhere. For all classes of the singularities studied here, the criterion suggested in this paper coincides with an independent proposal made by Gubser that the potential should be bounded from above in the solution. This gives a reason why Gubser's conjecture works.

14 pages, revtex, 1 table, references added, two other criteria included

References in corpus (2)

• Brane World Sum Rules
• Probing Naked Singularities in Non-supersymmetric String Vacua

Cited by in corpus (5)

• Strings, Branes and Extra Dimensions
• String versus Einstein frame in an AdS/CFT induced quantum dilatonic brane-world universe
• Quantum probes of timelike naked singularities in the weak field regime of $f(R)$ global monopole spacetime
• Holographic Cosmic Quintessence on Dilatonic Brane World
• Unitarity and singular backgrounds