Nonstationary energy in general relativity


Creative Commons License

Altas E., TEKİN B.

PHYSICAL REVIEW D, cilt.101, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

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.