How does QFT in curved spacetime work when state is in momentum space?
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manifold is called as Einstein if
Rab=kgabRab=kgab
For example a,b=1,...,3a,b=1,...,3 and
R11=kg11R11=kg11
R22=kg22R22=kg22
R33=kg33R33=kg33
My question is:
Does the constant kk here have the same value for R11,R22R11,R22 and R33R33 ?
If I get the different values of kk for each Ricci tensors, then is it correct to say that the metric is not Einstein?
Rab=kgabRab=kgab
For example a,b=1,...,3a,b=1,...,3 and
R11=kg11R11=kg11
R22=kg22R22=kg22
R33=kg33R33=kg33
My question is:
Does the constant kk here have the same value for R11,R22R11,R22 and R33R33 ?
If I get the different values of kk for each Ricci tensors, then is it correct to say that the metric is not Einstein?
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