Palatini identity
Variation of the Ricci tensor with respect to the metric. / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Palatini identity?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In general relativity and tensor calculus, the Palatini identity is
where denotes the variation of Christoffel symbols and indicates covariant differentiation.[1]
The "same" identity holds for the Lie derivative . In fact, one has
where denotes any vector field on the spacetime manifold .