2009/10/28 by Norihiro Tanahashi, Takahiro Tanaka, Toshiaki Tanaka
Physics and Astronomy · #AdS black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole information paradox #Computer science #Cosmology and Gravitation Theories #Entropy (arrow of time) #Hawking radiation #Holography #Mathematical physics #Micro black hole #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1143/ptp.123.369
published as Prog.Theor.Phys.123:369-392,2010 · 24 pages, 11 figures
arxiv created 2009/10/28 · openalex publication_date 2010/02/01 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
To investigate the holography in the Karch-Randall (KR) braneworld model, we construct time-symmetric initial data of black holes floating in the bulk, and compare it with its holographic dual, which is described by four-dimensional self-gravitating quantum field theory in asymptotically AdS4 spacetime. We also provide a definition and an explicit formula of mass in the KR model extending the definition by Abbott and Deser for asymptotically AdS spacetime. We obtain supporting evidence for the holography in the KR model such as good agreements of phase structures and characteristic values between the two theories, and find clues that the Hawking-Page transition of the four-dimensional quantum theory in a microcanonical ensemble is holographically dual to a transition in the bulk black hole configuration.