2022/02/28 by Guglielmo Grimaldi, Juan Hernandez, Robert C. Myers · 65 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Brane #Brane cosmology #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Geodesic #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #gr-qc #hep-th
paper · pdf · open access · doi:10.1007/jhep03(2022)136
published in Journal of High Energy Physics 2022(3) (Springer Nature) · 27 + 19 pages, 9 figures; v2: published version, added references
openalex publication_date 2022/03/01 · arxiv created 2022/03/07 · arxiv updated 2022/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [arXiv:2006.04851, arXiv:2010.00018, arXiv:2010.16398]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to finding different geodesics in the bulk BTZ geometry with a Randall-Sundrum brane falling into the black hole. We also explore the possibility of including an intrinsic JT gravity action on the brane. As expected, the generalized entropy rises linearly at early times. However, there is a transition to a late-time phase in which the entropy remains constant. The value of the late-time entropy depends on the size of the thermal baths. For a small size, it corresponds to the thermal entropy of the baths, while for large size, it corresponds to twice the horizon entropy of the black hole. The critical size and the Page time are proportional to ratio of the central charges of the conformal defect and the bath CFT.