Carver Hawke is Hawke's brash eighteen year old brother and Bethany's fraternal twin. Carver is bitter with Hawke and feels as though hes living in his sibling's shadow. After the death of their father Malcolm Hawke in 9:27 Carver signed up for military service with Hawke and together they fought in the Battle of Ostagar.
After fleeing Lothering to Kirkwall, Carver becomes particularly bitter feeling no real connection to the city and believes their mother Leandra is trying to force a past on the family that she had long left behind. Carver had grown up around magic and so was never afraid of it until witnessing Kirkwall's blood mages. He eventually shows more sympathy toward templars, particularly after learning he was named after the templar who freed Malcolm Hawke from the Circle.
If Carver comes with Hawke to the Deep Roads he will contract the Taint and need to be put out of his misery unless Anders was also brought along on the expedition. He will reveal that a group of Grey Wardens are nearby. Carver will then be saved and leave to undertake the Joining. Carver survives the Joining to become a Grey Warden but does not come back to the Hawke family. If Carver is instead left at home when Hawke sets out for the expedition he will willingly leave the Hawke family to join the templars. His training and duties as a new templar prevent him from joining his older sibling throughout their time in Kirkwall.
"It's like Mother, taking everything out on us. She was just scared. I don't have a place in the life she is trying to bring back." -Carver Hawke
Carver is related to the human Warden from the Magi Origin through his mother, whose maiden name is Amell.
During Isabela/Carver and Merrill/Carver conversations, it is hinted that he may like Merrill in a romantic way. If Hawke romances Merrill in the game, Hawke and Carver can have a brief in-party conversation during the Legacy DLC where Carver asks if Hawke and Merrill are together and then coldly states he's "happy" for them, to which Merrill confusingly asks if she missed something yet again.