- #1
Kurvature
- 22
- 0
Hi...
The ordinary plain vanilla conformal metric in spherical coordinates is:
ds2 = a(t)2[dt2 - dr2/(1 - kr2) - r2 (dΘ2 + sin2(Θ) d(φ)2)]
where a(t) is a function of time only.
I am trying to find out what Rieman, Ricci and the Scalar Curvature are
for this common metric when k=1 and a-dot and a-double-dot are zero.
Would it be published anywhere? Is it available on the Internet?
Could anyone check their Mathematica Notebook and tell me?
Alsmost all the tensor components are ZERO if a-dot and a-double-dot = 0 But I
suspect that there are a few crucial non-zero components proportional to k/a2
(particularly in the Ricci diagonal).
As you know this was famously so in the Einstein tensor, which allowed Einstein
to determine the radius of the Universe.
The ordinary plain vanilla conformal metric in spherical coordinates is:
ds2 = a(t)2[dt2 - dr2/(1 - kr2) - r2 (dΘ2 + sin2(Θ) d(φ)2)]
where a(t) is a function of time only.
I am trying to find out what Rieman, Ricci and the Scalar Curvature are
for this common metric when k=1 and a-dot and a-double-dot are zero.
Would it be published anywhere? Is it available on the Internet?
Could anyone check their Mathematica Notebook and tell me?
Alsmost all the tensor components are ZERO if a-dot and a-double-dot = 0 But I
suspect that there are a few crucial non-zero components proportional to k/a2
(particularly in the Ricci diagonal).
As you know this was famously so in the Einstein tensor, which allowed Einstein
to determine the radius of the Universe.