The
deceleration parameter in cosmology is a
dimensionless measure of the
cosmic acceleration of the expansion of space in a
Friedmann–Lemaître–Robertson–Walker universe. It is defined by:
where
is the
scale factor of the universe and the dots indicate derivatives by
proper time. The expansion of the universe is said to be "accelerating" if
is positive (recent measurements suggest it is), and in this case the deceleration parameter will be negative. The minus sign and name "deceleration parameter" are historical; at the time of definition
was thought to be positive, now it is believed to be negative.