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Derivation · draft

Raychaudhuri Equation and Geodesic Focusing

D-401 Home PU-403 Threads energy · fields · force Depends on Parallel Transport and Geodesic Deviation, Riemann Tensor from the Covariant Commutator
Statement

Deriving the Raychaudhuri equation for congruence expansion and showing the energy conditions force geodesic focusing, seeding the singularity theorems.

Depends on

Parallel Transport and Geodesic Deviation, Riemann Tensor from the Covariant Commutator

Used by

PU-403/L28 PU-403/L29