Whether a prince forfeits his dominion over his subjects, on account of apostasy from the faith, so that they no longer owe him allegiance?

Objections

Objection 1 : It would seem that a prince does not so forfeit his dominion over his subjects, on account of apostasy from the faith, that they no longer owe him allegiance. For Ambrose [*St. Augustine, Super Ps. 124:3] says that the Emperor Julian, though an apostate, nevertheless had under him Christian soldiers, who when he said to them, "Fall into line for the defense of the republic," were bound to obey. Therefore subjects are not absolved from their allegiance to their prince on account of his apostasy.
Objection 2 : Further, an apostate from the faith is an unbeliever. Now we find that certain holy men served unbelieving masters; thus Joseph served Pharaoh, Daniel served Nabuchodonosor, and Mardochai served Assuerus. Therefore apostasy from the faith does not release subjects from allegiance to their sovereign.
Objection 3 : Further, just as by apostasy from the faith, a man turns away from God, so does every sin. Consequently if, on account of apostasy from the faith, princes were to lose their right to command those of their subjects who are believers, they would equally lose it on account of other sins: which is evidently not the case. Therefore we ought not to refuse allegiance to a sovereign on account of his apostatizing from the faith.