Peel and coarsely chop eggplant. Sprinkle them with 1/2 a teaspoon of sea salt. Set aside.
Remove garlic and chili and add the eggplant, the tomato and the lime zest.
Stir and cook, over medium heat, stirring now and then, until the eggplant are completely done (5-7 minutes). Add water if it gets too dry (a few splashes).