Equation of motion of a free particle in curved spacetime: ẍ^μ + Γ^μ_{αβ} ẋ^α ẋ^β = 0. Reduces to Newton's 2nd law in the weak-field slow-motion limit.
Equation of motion of a free particle in curved spacetime: ẍ^μ + Γ^μ_{αβ} ẋ^α ẋ^β = 0. Reduces to Newton's 2nd law in the weak-field slow-motion limit.