Show different things to the eyes at the same time in VR

When using Three.js VR, how do I make it such that at a given time; the Left eye sees a set of lights while the Right eye sees a dark screen? I understand layers might help, but can’t really think of a way to present different layers to the respective eyes at the same time. Any help much appreciated!

Just create two scenes with different objects in each, and render each one to each camera:

renderer.render(sceneL, cameraL);
/* ... */
renderer.render(sceneR, cameraR);