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Introduction to Cosmology Ryden
· Problem 3.5
Newton versus Einstein
Physics — Astrophysics · robertson-walker-metric
Problem
By making the substitutions
x
=
r
sin
θ
cos
ϕ
x = r\sin\theta\cos\phi
x
=
r
sin
θ
cos
ϕ
,
y
=
r
sin
θ
sin
ϕ
y = r\sin\theta\sin\phi
y
=
r
sin
θ
sin
ϕ
, and
z
=
r
cos
θ
z = r\cos\theta
z
=
r
cos
θ
, demonstrate that Equations 3.29 and 3.30 represent the same metric.
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