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Paper   IPM / Physic / 14188
School of Physics
  Title:   Three Theorems on Near Horizon Extremal Vanishing Horizon Geometries
  Author(s): 
1.  S. Sadeghian
2.  M.M. Sheikh-Jabbari
3.  M.H. Vahidinia
4.  H. Yavartanoo
  Status:   Published
  Journal: Phys. Lett. B
  Vol.:  753
  Year:  2016
  Pages:   488-492
  Supported by:  IPM
  Abstract:
EVH black holes are Extremal black holes with Vanishing Horizon area, where vanishing of horizon area is a result of having a vanishing one-cycle on the horizon. We prove three theorems regarding near horizon geometry of EVH black hole solutions to generic Einstein gravity theories in diverse dimensions. These generic gravity theories are Einstein-Maxwell-dilaton-Lambda theories, and gauged or ungauged supergravity theories with U(1) Maxwell fields. Our three theorems are: (1) The near horizon geometry of any EVH black hole has a three dimensional maximally symmetric subspace. (2) If the energy momentum tensor of the theory satisfies strong energy condition either this 3d part is an AdS3, or the solution is a direct product of a locally 3d flat space and a d-3 dimensional part. (3) These results extend to the near horizon geometry of near-EVH black holes, for which the AdS3 part is replaced with BTZ geometry.

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