Heat a court bouillon with carrot, onion, celery, leek, anise seed, star anise, thyme, bay leaf and garlic. Poach the body of the lobster for 2 minutes and the claws for 5 minutes.
Parsnips purée
Peel and dice parsnips. Heat olive oil in a pan, sear parsnips. Turn heat down, cook covered with a lid until cooked through. Let cool. Puree with butter, set aside.
Carrot jus
Juice the carrots. Heat olive oil, sear garlic and shallots. Once softened, add spices, saute until fragrant. Deglaze with carrot jus. Let infuse for an hour. Strain. Reduce liquid over low heat. Stir in butter.
Warm salted butter in a pan. Reheat and sauté lobster. Smear parsnip puree on each plate. Top with warm lobster, drizzle on carrot jus. Garnish with pear and cilantro.