https://doi.org/10.1140/epjc/s10052-022-10426-6
Regular Article - Theoretical Physics
Mutual information, islands in black holes and the Page curve
1
Department of Physics, University of Kalyani, 741235, Kalyani, India
2
Department of Theoretical Sciences, S.N. Bose National Centre for Basic Sciences, JD Block, Sector-III, Salt Lake, 700106, Kolkata, India
b
sunandan.gangopadhyay@bose.res.in
Received:
20
December
2021
Accepted:
15
May
2022
Published online:
24
May
2022
The role played by the mutual information of subsystems on the Page curve is explored in this paper. With the total system consisting of the black hole and radiation, together with the inclusion of island, we observe that the vanishing of mutual information between 
and 
which in turn means the disconnected phase of the entanglement wedge corresponding to 
, yields a time scale of the order of scrambling time. This results in a time independent expression for the fine grained entropy of Hawking radiation consistent with the correct Page curve. We also find corrections to this entropy and Page time which are logarithmic and inverse power law in form.
© The Author(s) 2022
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