A New Geometric Invariant on Initial Data for the Einstein Equations

2004/06/30 by Sergio Dain · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1103/physrevlett.93.231101

published as Phys.Rev.Lett. 93 (2004) 231101 · 5 pages. Important corrections regarding the generalization to the non-time symmetric case

arxiv created 2004/12/01 · openalex publication_date 2004/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• The mass of an asymptotically flat manifold

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