1994/12/09 by Robert Beig, R. Beig, Niall Ó Murchadha +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #General relativity #Geometry #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Multipole expansion #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Tensor (intrinsic definition) #Weyl tensor #gr-qc
paper · pdf · doi:10.1007/bf02099258
published as Commun.Math.Phys. 176 (1996) 723-738 · 16 pages
arxiv created 1994/12/09 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Transverse-tracefree (TT-) tensors on (\bf R3,gab), with gab an asymptotically flat metric of fast decay at infinity, are studied. When the source tensor from which these TT tensors are constructed has fast fall-off at infinity, TT tensors allow a multipole-type expansion. When gab has no conformal Killing vectors (CKV's) it is proven that any finite but otherwise arbitrary set of moments can be realized by a suitable TT tensor. When CKV's exist there are obstructions -- certain (combinations of) moments have to vanish -- which we study.