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Island may not save the information paradox of Liouville black holes
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Island may not save the information paradox of Liouville black holes
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By using the quantum extremal island formula, we perform a simple calculation of the generalized entanglement entropy of Hawking radiation from the two dimensional Liouville black hole. No reasonable island was found when extremizing the generalized entropy. We explain qualitatively the reason why the page curve cannot be reproduced in the present model. This suggests that the islands may not necessarily save the information paradox for the Liouville black holes.
Forward citations
Cited by 3 Pith papers
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New insights on mutual information in the island approach to the Page curve
At scrambling time I(B+:B−)=0 forces I(I:R)→∞, interpreted as conservation of geometric correlation, while I(I:R+:R−) is shown always negative via Cauchy-slice identities.
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Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islan...
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Island of acoustic black hole in Schwarzschild spacetime
For a Schwarzschild-surrounded acoustic black hole, phonon entanglement entropy follows a Page curve in the non-extremal case but diverges (no Page time) in the extremal case, according to the island formula.
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