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:

    ‘Tis chastity, my brother, chastity.
    She that has that is clad in complete steel,
    And like a quivered nymph with arrows keen
    May trace huge forests and unharbored heaths,
    Infamous hills and sandy perilous wilds,
    Where, through the sacred rays of chastity,
    No savage fierce, bandit, or mountaineer
    Will dare to soil her virgin purity.
    John Milton (1608–1674)

    Muhammad is the Messenger of God,
    and those who are with him are hard
    against the unbelievers, merciful
    one to another. Thou seest them
    bowing, prostrating, seeking bounty
    from God and good pleasure. Their
    mark is on their faces, the trace of
    prostration....
    God has promised
    those of them who believe and do deeds
    of righteousness forgiveness and
    a mighty wage.
    Qur’An. Victory 48:35, ed. Arthur J. Arberry (1955)

    “In your company a man could die,” I said, “a man could die and you wouldn’t even notice, there’s no trace of friendship, a man could die in your company.”
    Max Frisch (1911–1991)