Physics, Astronomy & Cosmology / Re: How can the field equation be zero while the Ricci tensor is not?« on: 28/10/2017 20:42:27 »
But when deriving the Schwarzschild solution, after calculating the Ricci tensor (Rμν) and the Ricci scalar (R), from the spherical symmetries of the problem, both are non zero.If so then that's news to me. Can you find a source on the internet which shows that to be true? Clearly from Einstein's equations in vacuo R = 0 so I can't see how it can not be zero.
How is it possible that the field equation are zero while Rμν and R are non zero?They can't be. It seems to me that there has to be problem with your assertion above where you state that the Ricci scalar and tensor as zero.
Note: caution should be used when using the "/" operator in textual form. The expression 1/ab is defined as 1/(ab). I say this because you wrote 1/2*4 where you meant to write (1/2)*4. It really means 1/(2*4).
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