I’m curious how the two are connected? Does fasting make your lower back pain worse?
FWIW, I eat vegetables and don’t plan to give that up. There are some that I either avoid or eat small amounts of. But I like a pretty wide variety of veggies. Asparagus, broccoli / cauliflower / cabbage / Brussels sprouts, greens (turnip, mustard, collard), spinach, squash (zucchini, yellow), a few tomatoes, lettuces of different kinds, radishes, cucumbers,… I’m probably leaving out a few. They can fit into your macros and be keto. Some of us really like and get along quite well with vegetables as a part of what I feel like is a pretty well balanced diet for me. (I realize that some don’t like or want to eat vegetables. And I also realize that some don’t like or want to eat animal products. I would consider myself firmly planting in middle ground on that one. LOL!!)
Good luck!