In f(Q) gravity, free fall follows metric geodesics of the Levi-Civita connection, not autoparallel geodesics of the full connection.
( 7): Mµν def = 2√−g ~∇α ( √−gfQP α µν ) − 1 2 f gµν + fQ ( P(µ |αβ Q αβ ν) − 2Pαβ (µ Qαβ ν) ) , (20) Cα def = ~∇µ ~∇ν ( √−gfQP µν α )
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Free fall in modified symmetric teleparallel gravity
In f(Q) gravity, free fall follows metric geodesics of the Levi-Civita connection, not autoparallel geodesics of the full connection.