query: Is the vanishing of the covariant derivative of the metric necessary?
positive_passages.docid: 99154
positive_passages.text: Why is the covariant derivative of the metric tensor zero?
negative_passages.docid: 87743
negative_passages.text: Is a function whose derivative vanishes at rationals constant?
negative_passages.docid: 59100
negative_passages.text: Does metric signature affect the stress energy tensor?
negative_passages.docid: 29329
negative_passages.text: Does a four-divergence extra term in a Lagrangian density matter to the field equations?
negative_passages.docid: 152441
negative_passages.text: Vanishing of Taylor series coefficient
negative_passages.docid: 60751
negative_passages.text: General relativity and the conservation of momentum
negative_passages.docid: 35298
negative_passages.text: A question about the higher-order Weyl variation for the geodesic distance
negative_passages.docid: 155657
negative_passages.text: argument about fallacy of diff(M) being a gauge group for general relativity
negative_passages.docid: 139922
negative_passages.text: Is it known what the necessary and sufficient conditions are for the existence of a "3+1 split" (by means of a foliation) of a (Lorentzian) manifold?
negative_passages.docid: 77716
negative_passages.text: Not every metric is induced from a norm
negative_passages.docid: 13644
negative_passages.text: Is the change in the Lagrangian always a total derivative for symmetry transformations of the action?
negative_passages.docid: 131000
negative_passages.text: A proof of a criterion of vanishing of a function.
negative_passages.docid: 140692
negative_passages.text: Existence of a complete metric on $(0,1)$
negative_passages.docid: 78108
negative_passages.text: Do these define metrics on $\mathbb{R}$?
negative_passages.docid: 983
negative_passages.text: Use partial or covariant derivatives when deriving equations of a field theory?
negative_passages.docid: 99230
negative_passages.text: If a manifold M has zero Euler characteristic, there is a non-vanishing vector field on it
negative_passages.docid: 46593
negative_passages.text: Upper limits for jerk and higher derivatives in physics