About: Komar superpotential

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In general relativity, the Komar superpotential, corresponding to the invariance of the Hilbert–Einstein Lagrangian , is the tensor density: associated with a vector field , and where denotes covariant derivative with respect to the Levi-Civita connection. The Komar two-form: where denotes interior product, generalizes to an arbitrary vector field the so-called above Komar superpotential, which was originally derived for timelike Killing vector fields.

Attributes	Values
rdfs:label	Superpotenziale di Komar (it) Komar superpotential (en)
rdfs:comment	In general relativity, the Komar superpotential, corresponding to the invariance of the Hilbert–Einstein Lagrangian , is the tensor density: associated with a vector field , and where denotes covariant derivative with respect to the Levi-Civita connection. The Komar two-form: where denotes interior product, generalizes to an arbitrary vector field the so-called above Komar superpotential, which was originally derived for timelike Killing vector fields. (en) In relatività generale, si definisce superpotenziale di Komar, relativo alla lagrangiana invariante di Einstein-Hilbert , la densità tensoriale espressa dall'equazione: per ogni campo vettoriale , e dove il simbolo indica la derivata covariante rispetto alla connessione di Levi Civita. La 2-forma di Komar: dove con si denota il prodotto interno tra un vettore e una forma differenziale, fu originariamente definita solo nel caso in cui il campo vettoriale è un campo vettoriale di Killing di tipo tempo. (it)
dcterms:subject	Equations of physics General relativity Tensors
Wikipage page ID	54556438 (xsd:integer)
Wikipage revision ID	995414823 (xsd:integer)
Link from a Wikipage to another Wikipage	Vector field Interior product Christoffel symbols Einstein–Hilbert action General relativity Levi-Civita connection Kerr–Newman metric Equations of physics Killing vector field Komar mass Riemann curvature tensor Tensor density General relativity Tensors Tensor calculus Two-form
sameAs	Komar superpotential Komar superpotential Komar superpotential
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist dbt:Relativity-stub
has abstract	In general relativity, the Komar superpotential, corresponding to the invariance of the Hilbert–Einstein Lagrangian , is the tensor density: associated with a vector field , and where denotes covariant derivative with respect to the Levi-Civita connection. The Komar two-form: where denotes interior product, generalizes to an arbitrary vector field the so-called above Komar superpotential, which was originally derived for timelike Killing vector fields. Komar superpotential is affected by the anomalous factor problem: In fact, when computed, for example, on the Kerr–Newman solution, produces the correct angular momentum, but just one-half of the expected mass. (en) In relatività generale, si definisce superpotenziale di Komar, relativo alla lagrangiana invariante di Einstein-Hilbert , la densità tensoriale espressa dall'equazione: per ogni campo vettoriale , e dove il simbolo indica la derivata covariante rispetto alla connessione di Levi Civita. La 2-forma di Komar: dove con si denota il prodotto interno tra un vettore e una forma differenziale, fu originariamente definita solo nel caso in cui il campo vettoriale è un campo vettoriale di Killing di tipo tempo. Il superpotenziale di Komar è affetto dal problema del fattore anomalo: se lo si utilizza calcolandolo, per esempio, nel caso della metrica di Kerr-Newman, esso fornisce il valore corretto del momento angolare, ma solo la metà della massa prevista. (it)
prov:wasDerivedFrom	wikipedia-en:Komar_superpotential?oldid=995414823&ns=0
page length (characters) of wiki page	2542 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Komar_superpotential
is Link from a Wikipage to another Wikipage of	Einstein–Hilbert action Komar mass Arthur Komar Komar
is Wikipage disambiguates of	Komar
is known for of	Arthur Komar
is known for of	Arthur Komar
is foaf:primaryTopic of	wikipedia-en:Komar_superpotential

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