We obtain the Page curves of an eternal Reissner-Nordstr\”om black hole in
    the presence of higher derivative terms in four dimensions. We consider two
    cases: gravitational action with general ${\cal O}(R^2)$ terms plus Maxwell
    term and Einstein-Gauss-Bonnet gravity plus Maxwell term. In both the cases
    entanglement entropy of the Hawking radiation in the absence of island surface
    is increasing linearly with time. After including contribution from the island
    surface, we find that after the Page time, entanglement entropy of the Hawking
    radiation in both the cases reaches a constant value which is the twice of the
    Bekenstein-Hawking entropy of the black hole and we obtain the Page curves. We
    find that Page curves appear at later or earlier time when the Gauss-Bonnet
    coupling increases or decreases. Further, scrambling time of
    Reissner-Nordstr\”om is increasing or decreasing depending upon whether the
    correction term (coming from ${\cal O}(R^2)$ terms in the gravitational action)
    is increasing or decreasing in the first case whereas scrambling time remains
    unaffected in the second case (Einstein-Gauss-Bonnet gravity case). As a
    consistency check, in the limit of vanishing GB coupling we obtain the Page
    curve of the Reissner-Nordstr\”om black hole obtained in arXiv:2101.06867.

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