Make camera stick to one position

I'm making a game where the player is stationary. I want the player to be able to look around, but not move their head in the game. So if they're sitting down looking at the center of a dart board, and then stand up, they should still be looking at the center of the dart board. And even if they moved around outside the game, their head would still be at the same location in the game. How can I accomplish this? Which Ovr* scripts should I study closer?

Maybe relevant: I have a LocalAvatarWithGrab as a child of a GameObject with a Rigidbody. I move the Rigidbody by using my own script.