Gas turbines have by far the best power-to-weight ratio of anything short of a rocket motor. And large gas turbines can be extremely efficient.
But they're expensive and the efficiency advantage largely disappears as they're scaled down to a size appropriate to power a car.
Probably the fundamental reason we don't see production gas turbine cars is that there are cheaper and less technically risky ways to remove weight from a car, and weight savings often isn't even the cheapest way to improve efficiency.
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Gas turbines have by far the best power-to-weight ratio of anything short of a rocket motor. And large gas turbines can be extremely efficient.
But they're expensive and the efficiency advantage largely disappears as they're scaled down to a size appropriate to power a car.
Probably the fundamental reason we don't see production gas turbine cars is that there are cheaper and less technically risky ways to remove weight from a car, and weight savings often isn't even the cheapest way to improve efficiency.