- #1
binbagsss
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I'm looking at: http://arxiv.org/pdf/gr-qc/9712019.pdf,
deriving the FRW metric, and I don't fully understand how the Ricci Vectors eq 8.5 can be attained from 7.16, by setting ##\partial_{0} \beta ## and ##\alpha=0##
I see that any christoffel symbol with a ##0## vanish and so so do any Riemann tensors with a ##0##, and so only Ricci vectors with ##1,2,3## indices will be non-zero
However, I thought the metric used to compute the Ricci vectors in eq 7.16 - 7.13- would need to reduce to 8.4.
So I see ##\beta(t,r) -> \beta(t) ##, but I thought also the ##dt^{2}## coefficient would also have to vanish?
Thanks in advance.
deriving the FRW metric, and I don't fully understand how the Ricci Vectors eq 8.5 can be attained from 7.16, by setting ##\partial_{0} \beta ## and ##\alpha=0##
I see that any christoffel symbol with a ##0## vanish and so so do any Riemann tensors with a ##0##, and so only Ricci vectors with ##1,2,3## indices will be non-zero
However, I thought the metric used to compute the Ricci vectors in eq 7.16 - 7.13- would need to reduce to 8.4.
So I see ##\beta(t,r) -> \beta(t) ##, but I thought also the ##dt^{2}## coefficient would also have to vanish?
Thanks in advance.