  The island paradigm for the fine-grained entropy of Hawking radiation is
applied to eternal charged accelerating black holes. In the absence of the
island, the entanglement entropy grows linearly and divergent at late times,
while once the island outside the event horizon is taken into account, the
unitary Page curve is reproduced naturally. The impact of the charge and the
acceleration is investigated at late times. For the Page time and the
scrambling time, they both increase as the acceleration increases, while
decreasing as the charge increases. In particular, neutral black holes have the
largest Page time and scrambling time. It is worth noting that the Page time
and the scrambling time are divergent in the extremal limit, which implies that
islands may be related to the causal structure of spacetime.
