The entanglement entropy of Hawking radiation in non-extensive entropy-corrected Schwarzschild black holes grows linearly until an island forms and later saturates, with the Page time depending on the entropy deformation parameter.
Quantum Tunneling and Trace Anomaly
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abstract
We compute the corrections, using the tunneling formalisim based on a quantum WKB approach, to the Hawking temperature and Bekenstein-Hawking entropy for the Schwarzschild black hole. The results are related to the trace anomaly and are shown to be equivalent to findings inferred from Hawking's original calculation based on path integrals using zeta function regularization. Finally, exploiting the corrected temperature and periodicity arguments we also find the modification to the original Schwarzschild metric which captures the effect of quantum corrections.
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Effect of Non-Extensive Parameter on Page Curve
The entanglement entropy of Hawking radiation in non-extensive entropy-corrected Schwarzschild black holes grows linearly until an island forms and later saturates, with the Page time depending on the entropy deformation parameter.