Abstract
Using the necessary and sufficient condition of Capovilla, Jacobson and Dell, it is shown that a result of Samuel for gravitational instantons does not extend to 't Hooft's instantons of winding numbers larger than one. A formula for the next instanton satisfying this condition is given.
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Gravel, P. How many gravitational't Hooft instantons are there past the first one?. Gen Relat Gravit 24, 821–825 (1992). https://doi.org/10.1007/BF00759088
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DOI: https://doi.org/10.1007/BF00759088