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.

Read more about this topic:  Einstein Tensor

Famous quotes containing the word trace:

    A horse, a buggy and several sets of harness, valued in all at about $250, were stolen last night from the stable of Howard Quinlan, near Kingsville. The county police are at work on the case, but so far no trace of either thieves or booty has been found.
    —H.L. (Henry Lewis)

    Of moral purpose I see no trace in Nature. That is an article of exclusively human manufacture—and very much to our credit.
    Thomas Henry Huxley (1825–95)

    And in these dark cells,
    packed street after street,
    souls live, hideous yet
    O disfigured, defaced,
    with no trace of the beauty
    men once held so light.
    Hilda Doolittle (1886–1961)