- Geodesic Deviation
Tevian Dray · 2014
As we will show in Section 7.3, the coefficient of Δs is a component of curvature. Which one? We are taking two derivatives along the geodesic (that is, in the T -direction) of a displacement in the φ-direction, which is changing only in the φ-direction. We claim that which is true since ΩφT = Ω T φ = −m r3 σT ∧ σφ (7.18) (and since φˆ does not change in the r-direction).