What are the medical or surgical conditions in which there are chill or rigor without fever?

Several. Some folks get goosebump, teeth-rattling chills, especially at night, with no fever. When it's not due a cold-water environment or a fad diet, this can be puzzling. Most often a medication side-effect, this can also be due to a bladder infection that produces no fever. Your physician may wish to check you for hypothyroidism and/or early diabetes. Good luck.