Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane

Abstract

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.

27 + 19 pages, 9 figures; v2: published version, added references

References in corpus (12)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Gravity/Ensemble Duality
• Notes on islands in asymptotically flat 2d dilaton black holes
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Fake Supersymmetry and Extremal Black Holes
• Hawking-Page phase transition in BTZ black hole revisited
• The Black Hole Information Problem
• Islands in Linear Dilaton Black Holes
• Submerging islands through thermalization
• Two-dimensional Quantum Black Holes, Branes in BTZ and Holography

Cited by in corpus (2)

• The role of mutual information in the Page curve
• Circumventing the black hole hair-loss problem