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## Main Question or Discussion Point

hi

In a local inertial frame with [itex]g_{ij}=\eta_{ij}[/itex] and [itex]\Gamma^i_{jk}=0[/itex].

why in such a frame, curvature tensor isn't zero?

curvature tensor is made of metric,first and second derivative of metric.

In a local inertial frame with [itex]g_{ij}=\eta_{ij}[/itex] and [itex]\Gamma^i_{jk}=0[/itex].

why in such a frame, curvature tensor isn't zero?

curvature tensor is made of metric,first and second derivative of metric.