However, this sentence sounds rather awkward because "there is a stone statue" is a complete thought. In fact, I'm not positive, but I think this sentece requires a comma after "him" to offset "behind him" as a adverbial phrase:
So 'there' should be present in the sentences like this one: In our city there are many museums.
I mean in such a structure only, Am I right? (On the other hand if I remove 'there' it would have the same structure as the first sentence in the original post).