Nonstationary energy in general relativity

Altas, Emel
Tekin, Bayram
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.

Citation Formats
E. Altas and B. Tekin, “Nonstationary energy in general relativity,” PHYSICAL REVIEW D, vol. 101, no. 2, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: