Whether Baptism can be conferred in the name of Christ?

Objections

Objection 1 : It seems that Baptism can be conferred in the name of Christ. For just as there is "one Faith," so is there "one Baptism" (Eph. 4:5). But it is related (Acts 8:12) that "in the name of Jesus Christ they were baptized, both men and women." Therefore now also can Baptism be conferred in the name of Christ.
Objection 2 : Further, Ambrose says (De Spir. Sanct. i): "If you mention Christ, you designate both the Father by Whom He was anointed, and the Son Himself, Who was anointed, and the Holy Ghost with Whom He was anointed." But Baptism can be conferred in the name of the Trinity: therefore also in the name of Christ.
Objection 3 : Further, Pope Nicholas I, answering questions put to him by the Bulgars, said: "Those who have been baptized in the name of the Trinity, or only in the name of Christ, as we read in the Acts of the Apostles (it is all the same, as Blessed Ambrose saith), must not be rebaptized." But they would be baptized again if they had not been validly baptized with that form. Therefore Baptism can be celebrated in the name of Christ by using this form: "I baptize thee in the name of Christ."