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Saeedeh Sadeghian

Saeedeh Sadeghian

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


AdS_3 to dS_3 transition in the near horizon of asymptotically de Sitter solutions
Kerr black hole, BTZ, horizon,cosmological soliton, thermodynamics
Journal Physical Review D - Particles, Fields, Gravitation and Cosmology
Researchers Saeedeh Sadeghian ، Mohammad Hasan Vahidinia


We consider two solutions of Einstein-Λ theory which admit the extremal vanishing horizon (EVH) limit, odd-dimensional multispinning Kerr black hole (in the presence of cosmological constant) and cosmological soliton. We show that the near horizon EVH geometry of Kerr has a three-dimensional maximally symmetric subspace whose curvature depends on rotational parameters and the cosmological constant. In the Kerr-dS case, this subspace interpolates between AdS3, three-dimensional flat and dS3 by varying rotational parameters, while the near horizon of the EVH cosmological soliton always has a dS3. The feature of the EVH cosmological soliton is that it is regular everywhere on the horizon. In the near EVH case, these three-dimensional parts turn into the corresponding locally maximally symmetric spacetimes with a horizon: Kerr-dS3, flat space cosmology or BTZ black hole. We show that their thermodynamics match with the thermodynamics of the original near EVH black holes. We also briefly discuss the holographic two-dimensional CFT dual to the near horizon of EVH solutions.