Page 178 - Pure Life 33

Quantum Fluctuation… M.S. Mousavi Karimi (177

is no center of the “∂R/∂t” is the rate at
universe”. (Hawley and which the universe

Holcomb 2000: 148-151) expands or contracts.
Having taken these
presuppositions, Friedmann “∂2R/∂t2” is the rate of

could finally reduce the change of (∂R/∂t); that
original ten equations of is, the acceleration of the
general relativity to only expansion or the

two following equations, deceleration of the
(Ref: Coles and Lucchin contraction.
1997: 22) which have “G” is the universal

become the normal gravitational constant.
solutions to Einstein’s field “ρ” is the average
equations: density of the world.

2
2
2 2
2
2
1/R (∂ R/∂t ) + kc /R = “P” is the average
8πGρ/3 pressure of all matter of
the world.
2
2
2
2/R (∂ R/∂t ) +1/R (∂R/∂t)
2
2
2
2
+ kc / R = -8πGP/c “k” is the constant of
space curvature.
In these equations most
parameters indicate the 3. Friedmann’s equations
properties of the world-as- show that if ρ is positive,
a-whole: then (∂ R/∂t ) cannot be zero.
2
2
In a word, if there is matter
“R” represents the radius
of the universe at a given present in the universe then
time. the universe must be either