BTZ black holes from the five-dimensional general relativity with a negative cosmological constant

Abstract

We show that the five-dimensional general relativity with a negative cosmological constant allows the solutions of the form M_3 \times M_g where M_3 is the three-dimensional BTZ black hole and M_g is a higher genus (g>1) Riemann surface with a fixed size. It is shown that this type of spontaneous compactification on a Riemann surface is possible only for the genus larger than one. From type IIB string theory point of view, certain near horizon geometry of D three-branes wrapped on the compact Riemann surface (g>1) is the BTZ (or AdS_3) space-time tensored with the Riemann surface and a constant size five-sphere. The relevance of our analysis to the positive energy conjecture of Horowitz and Myers is discussed.

14 pages, RevTeX, version to appear in Phys. Lett. B, arguments clarified

References in corpus (4)

• Gauge Theory Correlators from Non-Critical String Theory
• Black Hole Entropy from Near-Horizon Microstates
• AdS Membranes Wrapped on Surfaces of Arbitrary Genus
• Einstein spaces in five and seven dimensions and non-supersymmetric gauge theories

Cited by in corpus (3)

• Supergravity description of field theories on curved manifolds and a no go theorem
• Gauged Supergravities
• Supersymmetry of Black Strings in D=5 Gauged Supergravities