Non-stationary Energy in General Relativity
General Relativity and Quantum Cosmology
2020-01-22 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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 non-stationary energy on a given spacelike hypersurface in 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.
Keywords
Cite
@article{arxiv.1911.08383,
title = {Non-stationary Energy in General Relativity},
author = {Emel Altas and Bayram Tekin},
journal= {arXiv preprint arXiv:1911.08383},
year = {2020}
}
Comments
16 pages,dedicated to the memory of Rahmi Guven (1948-2019) who spent a life in gravity research in a region quite timid about science