  We study the Page curve for asymptotically flat eternal Schwarzschild black
holes in four and higher spacetime dimensions. Before the Page time, the
entanglement entropy grows linearly in time. After the Page time, the
entanglement entropy of a given region outside the black hole is largely
modified by the emergence of an island, which extends to the outer vicinity of
the event horizon. As a result, it remains a constant value which reproduces
the Bekenstein-Hawking entropy, consistent with the finiteness of the von
Neumann entropy for an eternal black hole.
