For those of you that are opposed to using oil, I have used water soluble Glycerin with good effect on a number of stones. You can use it straight or thin with water. And when you are done, it rinses right off. Not sure it is as good as straight oil, but the clean up is a breeze.
I have a mix of 50/50 glycerine and 70% Isopropyl Alcohol that I tried out for a while. I don’t like the tacky residue glycerine tends to leave plus glycerine being a humectant means you really want to clean your razor very well otherwise it’ll attract water and cause corrosion.