A definition of an asymptotically flat ℋ-space is given. Using a technique for solving for all null geodesics in an ℋ-space, it is shown that the construction of another ℋ-space from a given asymptotically flat ℋ-space is idempotent, i.e., the new ℋ-space is isometric to the first one.
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Ludvigsen et al. (1981) studied this question.
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