1 Ocak 2010 Dergi makalesi Açık Erişim

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

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/26643</identifier>
  <creators>
    <creator>
      <creatorName>Acik, O.</creatorName>
      <givenName>O.</givenName>
      <familyName>Acik</familyName>
      <affiliation>Ankara Univ, Fac Sci, Dept Phys, TR-06100 Tandogan, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ertem, U.</creatorName>
      <givenName>U.</givenName>
      <familyName>Ertem</familyName>
      <affiliation>Ankara Univ, Fac Sci, Dept Phys, TR-06100 Tandogan, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Onder, M.</creatorName>
      <givenName>M.</givenName>
      <familyName>Onder</familyName>
      <affiliation>Hacettepe Univ, Dept Engn Phys, TR-06532 Beytepe, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Vercin, Abdullah</creatorName>
      <givenName>Abdullah</givenName>
      <familyName>Vercin</familyName>
      <affiliation>Ankara Univ, Fac Sci, Dept Phys, TR-06100 Tandogan, Turkey</affiliation>
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  </creators>
  <titles>
    <title>Basic Gravitational Currents And Killing-Yano Forms</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2010</publicationYear>
  <dates>
    <date dateType="Issued">2010-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/26643</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s10714-010-1075-4</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">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.</description>
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