it shouldn't (and probably won't) have any link to the Goldstone in its name. that name was only relevent to our ground (RIP) in Hove.
would be happy with Falmer Stadium, because any type of sponsorship wouldn't rid us of a proper name for the ground, cos then it'd be something like AMEX Falmer Stadium (and we could just omit the sponsor name in conversation - like St Marys)