Show that if a geodesic is timelike, spacelike or null at a given point, it will remain timelike, spacelike or null everywhere along its path.
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![c) Show that if a geodesic is timelike, spacelike or null at a given point, it will remain
timelike, spacelike or null everywhere along its path.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0602eaa-79a9-4455-9bd8-2642a3c0ae64%2F13aaf304-ddbb-4cbe-a6b1-da97c0e8ad7f%2Fhitb0n4_processed.jpeg&w=3840&q=75)
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