A cosmological model (not to be confused with the de Sitter cosmological model)which assumes a homogeneous, isotropic, constant curvature universe with zero cosmological constant 
and pressure P,
Its equation of motion, derived from the Einstein field equations, is
where a is the expansion parameter,H is the Hubble constant,G is the gravitational constant,and
is the density. For constant mass of the universe M,
Therefore,
so
For small densities,
and pressure P,(1)
Its equation of motion, derived from the Einstein field equations, is
(2)
where a is the expansion parameter,H is the Hubble constant,G is the gravitational constant,and
is the density. For constant mass of the universe M,(3)
(4)
(5)
(6)
(7)
(8)
Therefore,
(9)
so
(10)
For small densities,
(11)
(12)
(13)
(14)
(15)
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