Abstract
If geodesics in space-time can be classified as timelike, null, and spacelike, the affine connection must be of the form Γjk i = {jki}+2giaejka- (δjiδka+δ kiδja-g jkg ia)d a, with d a, an arbitrary vector and e ijk a tensor satisfying e(ijk)=e[ij]k=0. It is possible to generalize Fermi's law of transport to this affine connection. The requirement that any observer be able to construct and maintain a nonrotating orthogonal space triad along his world line by the bouncing photon experiment implies the Weyl's geometry of paths.
Original language | English |
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Pages (from-to) | 572-575 |
Number of pages | 4 |
Journal | Journal of Mathematical Physics |
Volume | 14 |
Issue number | 5 |
DOIs | |
State | Published - 1973 |