A conjugate point to a spacelike surface occurs where normal geodesics develop a focal degeneracy: the transverse Jacobi field map from initial points on the surface ceases to be invertible. Collapse of the transverse area makes the null expansion diverge. Beyond a first such point, the normal null geodesic cannot continue as a generator of the achronal boundary of the surface's future.

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  1. Null focusing theorem
  2. Null Raychaudhuri equation
  3. Null geodesic congruence
  4. Geodesic congruence
  5. General relativity
  6. Branch of physics
  7. Physics
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