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Throughout the study of the geodesics of some popular spherically symmetric
regular black holes, we hereby prove that the analytically extended Hayward
black hole is geodetically incomplete. The simplest extension of the
Culetu-Simpson-Visser's non-analytic smooth black hole is also geodetically
incomplete, with the exception of the antipodal continuation of the radial
geodesics. However, the huge ambiguity in the extension of non analytic
spacetimes is tantamount of geodesic incompleteness and such spacetimes do not
solve the singularity issue unless at least all the extensions turn out to be
complete. Hence, we provide several mere modifications of such spacetimes in
order to make them geodetically complete in all possible extensions beyond r=0.
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