In an adventure I am playing, I play a barbarian 1 / sorcerer 1, and I am in a dispute with my DM. My DM says that if I cast False Life on myself, then Rage, the spell's effect will not remain.
Page 48 of the Player's Handbook says, under the description of the Rage feature:
If you are able to cast spells, you can't cast them or concentrate on them while raging.
Because of this rule, am I able to keep the effects I cast on myself?