This happens to me when I get a particularly bad flare in my hands. Sometimes it is accompanied by swelling and sometimes it is just the redness...but always with the pain. If they get cold this can happen, or if I overuse them, or if the weather changes, or if I bump them on something just the wrong way, or...well...just about anything really. But I have learned to recognize this as just part of a normal RSD flare up. But if your RSD is only in your right hand I'm not sure why it would have happened in both hands. Sorry...hope they feel better soon...makes it awfully hard to do anything when you have pain like that in your hands.