Nonstationary energy in general relativity

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2020-01-15

Author

Altas, Emel
Tekin, Bayram

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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.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/35336

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.101.024035

Collections

Department of Physics, Article

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Citation Formats

E. Altas and B. Tekin, “Nonstationary energy in general relativity,” PHYSICAL REVIEW D, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35336.