2
General Theory of Bitensors
2.1
Synge’s world function
2.1.1
Definition
2.1.2
Differentiation of the world function
2.1.3
Evaluation of first derivatives
2.1.4
Congruence of geodesics emanating from
2.2
Coincidence limits
2.2.1
Computation of coincidence limits
2.2.2
Derivation of Synge’s rule
2.3
Parallel propagator
2.3.1
Tetrad on
2.3.2
Definition and properties of the parallel propagator
2.3.3
Coincidence limits
2.4
Expansion of bitensors near coincidence
2.4.1
General method
2.4.2
Special cases
2.4.3
Expansion of tensors
2.5
Van Vleck determinant
2.5.1
Definition and properties
2.5.2
Derivations
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