Einstein Tensor - Trace

Trace

The trace of the Einstein tensor can be computed by contracting the equation in the definition with the metric tensor . In dimensions (of arbitrary signature):

The special case of 4 dimensions in physics (3 space, 1 time) gives, the trace of the Einstein tensor, as the negative of, the Ricci tensor's trace. Thus another name for the Einstein tensor is the trace-reversed Ricci tensor.

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    No trace of slavery ought to mix with the studies of the freeborn man.... No study, pursued under compulsion, remains rooted in the memory.
    Plato (c. 427–347 B.C.)