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Goswami, Kaberi; Narayan, K.

Small Schwarzschild de Sitter black holes, the future boundary and islands. (English) Zbl 07877317

J. High Energy Phys. 2024, No. 5, Paper No. 16, 33 p. (2024).
Summary: We continue the study of 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale, following [K. Goswami and K. Narayan, “Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands”, Preprint, arXiv:2207.10724, see also Zbl 1534.83044]. The de Sitter temperature is very low compared with that of the black hole. We consider the future boundary as the location where the black hole Hawking radiation is collected. Using 2-dimensional tools, we find unbounded growth of the entanglement entropy of radiation as the radiation region approaches the entire future boundary. Self-consistently including appropriate late time islands emerging just inside the black hole horizon leads to a reasonable Page curve. We also discuss other potential island solutions which show inconsistencies.

MSC:

81-XX Quantum theory

Keywords:

2D gravity; black holes; effective field theories

Citations:

Zbl 1534.83044
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References:

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