If you are going to use a collection that you don’t know the size of in advance, there are better options than arrays.
Use a List<string> instead – it will allow you to add as many items as you need and if you need to return an array, call ToArray() on the variable.
var listOfStrings = new List<string>();
// do stuff...
string[] arrayOfStrings = listOfStrings.ToArray();
If you must create an empty array you can do this:
string[] emptyStringArray = new string[0];