He "recently" lost his job, he's not going to try superhard to get one for awhile. It's okay if he has a lull,, where he just wants to relax a little bit. Be supportive, and just gently kick his butt into gear after awhile.
ONLY IF HE HASN'T HAD A JOB FOR 6 MONTHS:
You do not owe him beyond your own half of the rent, including his car insurance. Even if it might benefit you in the long run, prod him into getting a job through self-motivation.