How to Make It
Preheat the oven to 450°. Arrange the tomatoes and carrots cut sides down on a large rimmed baking sheet. Add the onion, jalapeño and garlic. Drizzle with the vegetable oil and season with salt and pepper. Roast in the bottom third of the oven for about 30 minutes, until well browned.
Peel the garlic. Coarsely chop all of the roasted vegetables and transfer to a blender. Add 2 tablespoons of olive oil and the lime juice and puree until smooth. Season with salt and pepper. Leave the oven on.
Set the chops on the rimmed baking sheet and drizzle with the remaining 2 tablespoons of olive oil. Rub the chops with the thyme and lemon zest and season with salt and pepper. Bake in the top third of the oven for about 15 minutes, or until an instant-read thermometer inserted near the bone registers 145°. Let the pork chops rest for 5 minutes. Serve with the charred vegetable puree.