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Saeedeh Sadeghian

Saeedeh Sadeghian

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Science
Address: University of Mazandaran
Phone: 011-35302442

Research

Title
Three theorems on near horizon extremal vanishing horizon geometries
Type
JournalPaper
Keywords
Near horizon geometry, Extremal black holes, anti-de Sitter, strong energy condition
Year
2016
Journal Physics Letters B
DOI
Researchers Saeedeh Sadeghian ، Shahin Sheikh-Jabbari ، Mohammad Hasan Vahidinia ، Hossein Yavartanoo

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-Λ 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 AdS 3 , 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 AdS 3 part is replaced with BTZ geometry.