Sheikh-Jabbari, MM (reprint author), Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran, Iran.
[Sheikh-Jabbari, M. M.] Inst Res Fundamental Sci IPM, Sch Phys, Tehran, Iran
; [Sheikh-Jabbari, M. M.] Kyung Hee Univ, Dept Phys, Seoul 130701, South Korea
; [Yavartanoo, H.] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
In this work we explore ideas in quantizing AdS(3) Einstein gravity. We start with the most general solution to the 3d gravity theory which respects Brown-Henneaux boundary conditions. These solutions are specified by two holomorphic functions and satisfy simple superposition rule. These geometries generically have a bifurcate Killing horizon (with a noncompact or not simply connected bifurcation curve) which is not an event horizon. Nonetheless, there are superpositions of these geometries which have event horizon. We propose to view these geometries as "semiclassical fuzzball microstates" of BTZ black holes appearing as superposition of these geometries. The details of quantization of these semiclassical microstates will be discussed in an upcoming work.