Nonstationary energy in general relativity

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Altas E., Tekin B.

PHYSICAL REVIEW D, vol.101, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 101
  • Publication Date: 2020
  • Doi Number: 10.1103/physrevd.101.024035
  • Title of Journal : PHYSICAL REVIEW D


Using the time evolution equations of (cosmological) general relativity in the first order Fischer-Marsden form, we construct an integral that measures the amount of nonstationary energy on a given spacelike hypersurface in D dimensions. The integral vanishes for stationary spacetimes; and with a further assumption, reduces to Dain's invariant on the boundary of the hypersurface which is defined with the Einstein constraints and a fourth order equation defining approximate Killing symmetries.