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A capital G with two indices, the geometry side of the field equations.
Also known as: Einstein tensor, Curvature combination, Field-equation curvature term
The Einstein tensor is the exact combination of curvature terms whose divergence vanishes automatically, which is what lets it be equated to the energy-momentum tensor without violating conservation of energy. It was constructed to have that property.
Denotes the Einstein tensor, combining the Ricci tensor and the scalar curvature.
Contexts: Laboratory
Has identically zero divergence by the Bianchi identities, which is what makes the field equations consistent with local energy–momentum conservation.
Contexts: Laboratory
Stands on the geometry side of the Einstein field equations, with the energy–momentum tensor on the other.
Contexts: Laboratory
An italic capital letter G carrying two small Greek index letters set below and to the right.