1998/10/31 by Youngjai Kiem, Dahl Park · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/s0370-2693(99)00120-3
published as Phys.Lett. B450 (1999) 41-47 · 14 pages, RevTeX, version to appear in Phys. Lett. B, arguments clarified
arxiv created 1999/01/21 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the five-dimensional general relativity with a negative cosmological constant allows the solutions of the form M3 × Mg where M3 is the three-dimensional BTZ black hole and Mg 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 AdS3) 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.