4. Bathing the infant:[1]

Today that it is no longer viewed as a medical necessity to bathe a circumcised child, it remains forbidden to do so to the child the same way as is forbidden for an adult. Hence, only minority of his limbs may be bathed in hot water, and only if the water was heated before Shabbos.[2] Nevertheless, if one sees that it is necessary to be done for medical reasons, and lack of doing so can endanger the child, then one may desecrate Shabbos for the infant just as is the law in all cases of danger.

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[1] Admur 331:11; Michaber 331:9; See also 616:1 regarding Yom Kippur

[2] Admur ibid see Volume 2 “The Laws of Bathing”]