I'm going to assume that by 'the Trojan War' you mean the Homeric version of the Trojan war? I wrote an essay on this last semester and tbh it's a pretty in depth topic with a ton of points up for discussion, too many to really go into here. If you have a look at some of these books and articles though you should be pretty well set up.
Page, D.L., History and the Homeric Iliad, (Berkeley, 1959).
Wood, M., In Search of the Trojan War (California, 1998).
The article by Bryce is particularly useful