1 Ocak 2010 Dergi makalesi Açık Erişim

Acik, O.; Ertem, U.; Onder, M.; Vercin, Abdullah

Dublin Core

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  <dc:creator>Acik, O.</dc:creator>
  <dc:creator>Ertem, U.</dc:creator>
  <dc:creator>Onder, M.</dc:creator>
  <dc:creator>Vercin, Abdullah</dc:creator>
  <dc:date>2010-01-01</dc:date>
  <dc:description>It has been shown that for each Killing-Yano (KY)-form accepted by an n-dimensional (pseudo)Riemannian manifold of arbitrary signature, two different gravitational currents can be defined. Conservation of the currents are explicitly proved by showing co-exactness of the one and co-closedness of the other. Some general geometrical facts implied by these conservation laws are also elucidated. In particular, the conservation of the one-form currents implies that the scalar curvature of the manifold is a flow invariant for all of its Killing vector fields. It also directly follows that, while all KY-forms and their Hodge duals on a constant curvature manifold are the eigenforms of the Laplace-Beltrami operator, for an Einstein manifold this is certain only for KY 1-forms, (n - 1)-forms and their Hodge duals.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/26643</dc:identifier>
  <dc:identifier>oai:zenodo.org:26643</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>GENERAL RELATIVITY AND GRAVITATION 42(11) 2543-2559</dc:source>
  <dc:title>Basic gravitational currents and Killing-Yano forms</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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