Asymptotic flatness at spatial infinity in higher dimensions

2009/02/10 by Kentaro Tanabe, Norihiro Tanahashi, Tetsuya Shiromizu · 2 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #gr-qc #hep-th

paper · pdf · doi:10.1063/1.3166141

published as J.Math.Phys.50:072502,2009 · 10 pages

arxiv created 2009/02/10 · openalex publication_date 2009/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A definition of asymptotic flatness at spatial infinity in d dimensions (d≥4) is given using the conformal completion approach. Then we discuss asymptotic symmetry and conserved quantities. As in four dimensions, in d dimensions we should impose a condition at spatial infinity that the “magnetic” part of the d-dimensional Weyl tensor vanishes at a faster rate than the “electric” part does in order to realize the Poincare symmetry as asymptotic symmetry and construct the conserved angular momentum. However, we found that an additional condition should be imposed in d>4 dimensions.

Citations

• Black holes in general relativity

Cited by

• Asymptotic flatness at null infinity in arbitrary dimensions
• Energy in higher-dimensional spacetimes

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