Egg substitutes: for this type of recipe, which is really a custard, will be different to the norm. What will work for this is a thickening agent, such as cornflour/cornstarch. 1/4 cup/1oz/28g of cornstarch. Slake it (that is blend it until you can pour it) with a little cream or milk, then add it to the batter, mix it through, and bake. The egg in this recipe is to set it, and the cornflour/cornstarch will do that too.
Bake: Bake this cheesecake in the oven at 325oF(160oC) for roughly 40-45 minutes.