A new geometric invariant on initial data for Einstein equations

Details A new geometric invariant on initial data for Einstein equations A new geometric invariant on initial data for Einstein equations

2004-06-24

arxiv.org/abs/gr-qc/0406099v2

Phys.Rev.Lett. 93 (2004) 231101

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages. Important corrections regarding the generalization to the non-time symmetric case

Scientific paper

10.1103/PhysRevLett.93.231101

For a given asymptotically flat initial data set for Einstein equations a new
geometric invariant is constructed. This invariant measure the departure of the
data set from the stationary regime, it vanishes if and only if the data is
stationary. In vacuum, it can be interpreted as a measure of the total amount
of radiation contained in the data.

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