Do we know?

So, I’m aware that a few years ago, Hal Jordan and Kyle Rayner clashed with General Dru-Zod on planet Jekuul (now New Krypton) in Sector 2811. I find it odd, though, that it was the two of them, instead of one of them and the local Lantern. Do we know why the local Lantern wasn’t present? Do we even know who the GL of 2811 is??