geodesic incompleteness

geodesic incompleteness

[¦jē·ə¦des·ik ‚iŋ·kəm′plēt·nəs]
(relativity)
Property of a space-time wherein there exists at least one timelike or null geodesic that cannot be extended to arbitrarily large values of its affine parameter; such a space-time contains a singularity. Also known as g-incompleteness.
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As Earman himself notes, however, the theorem in question only predicts the existence of the second type of singularities - namely, those involving geodesic incompleteness and therefore b-incompleteness - without telling us more about their nature (p.