Everything about Scale Factor Universe totally explained
The
scale factor, parameter of
Friedmann-Lemaître-Robertson-Walker model, is a function of time which represents the
relative expansion of the
universe. It relates physical coordinates (also called proper coordinates) to
comoving coordinates.
»
where
is the physical
distance,
is the distance in comoving units, and
is the scale factor.
The scale factor could, in principle, have units of length or be dimensionless. Most commonly in modern usage, it's chosen to be dimensionless, with the current value equal to one:
, where
t is counted from the birth of the universe and
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.
The
Hubble parameter is defined:
»
where the dot represents a time derivative.
Further Information
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