basicallymetalcore, deathcore, hardcore, screamo vs BLACK METAL, death metal, doom metal, (thrash metal?)
Metal is more heavier then rock, and the pace of the song can be more faster. Metal is more aggresive then rock!
Linkin Park, and Three Days Grace are most certainly not metal! they are maybe rock metal is FAST DISTORTED RIFFS... a good example of that is parkway drive they are metal
Metal is difficult to describe but i can see where you're going in saying that linkin park and three days grace are not. i think the best way to describe heavy metal is the fact that it is a non-conforming genre of music. since it's birth with black sabbath to the mainstream success of metallica and far into the future it has always remained the same, sound wise and usually lyrically. many of these bands that are considered metal especially the nu metal bands changed there sound as the years went on; korn was nu metal but them they became more industrial rock, linkin park was nu metal then they became more pop rock oriented. on the other hand you look at a bands like dio, iron maiden and megadeth they have stayed the same throughout their careers. that's probably my best description of heavy metal i can give you.
metal is harder, and louder than rock.. linkin park and three days grace are just rock. metal's like pantera, metallica etc..
in my opinion i dont really think that kurt cobain was 'metal' but there are other kinda of metal music such as death metal and speed metal and such. but i think that metal is bands such as metalica and pantrea.. or arch enemy