81. Contracted Bianchi Identities and Energy Tensor

The contracted Bianchi identities in the Riemannian geometry are not equivalent to the covariant derivatives of energy tensor in Albert Einstein's theory of general relativity. Both Kerr metric and Schwarzschild metric show that the energy tensor for vacuum is not always zero. The metric contradicts the theory of general relativity by proving that energy momentum tensor is not covariant.