Preheat the oven to medium heat.
Cut each lobster tail in half lengthwise from front to rear, leaving the end of the tail attached to the body.
Prepare marinade by combining all marinade ingredients in a small bowl.
Massage marinade into each piece of lobster tail, being careful not to tear the meat.
Place lobster tails in a basket or rack and place them on the grill.
Cook for 8 to 10 minutes on each side.
Remove from the oven.
Serving Suggestions: Serve with a yoghurt, mayonnaise and hot sauce combined dipping sauce.