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variable which represents the relative expansion of the Universe. It relates physical coordinates (also called proper coordinates) to comoving coordinates.
where:
The scale factor could in principle either have length units or be dimensionless.
Most commonly in modern usage, it is chosen to be dimensionless, with
where <math>t_0<math> is the present age of the Universe.
The evolution of the scale factor is a dynamical question, determined by the equations of general relativity, which are presented in the case of a locally isotropic, locally homogeneous universe by the Friedmann equations.