Einstein force

The Einstein force is an apparent force which acts in an accelerated reference system.

Suppose that there are two reference frames S and S ', where S ' is moving relative to S. The origin of S ' moves along some curve in S, which can be traced out by some vector C which is a function of t. The Einstein force is the apparent force acting on a particle of mass m in the S ' frame, and is defined by

${\displaystyle \mathbf{\text{F}}=-m\frac{d^2\mathbf{\text{C}}}{d{t}^2}.}$

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