1994/11/10 by Jacek Jezierski, J. Jezierski · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic number #Black Holes and Theoretical Physics #Classical mechanics #Conformal gravity #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Differential geometry #General relativity #Geodesic #Gravitation #Kerr metric #Killing vector field #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Metric tensor #Physics #Pure mathematics #Schwarzschild geodesics #Schwarzschild metric #Schwarzschild radius #Tensor (intrinsic definition) #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/14/7/008
published as Class.Quant.Grav. 14 (1997) 1679-1688 · 8 pages, latex, no figures
arxiv created 1994/11/10 · openalex publication_date 1997/07/01 · arxiv updated 2011/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show some general properties of the conformal Yano - Killing tensor on a Riemannian manifold. Several differential and algebraic equations are derived. The asymptotic conformal Yano - Killing tensor proposed earlier by the author is analysed for the Schwarzschild metric and the tensor equations defining this object are given. The result shows that the Schwarzschild metric (and other metrics which are asymptotically `Schwarzschildean' up to at spatial infinity) is among the metrics fulfilling stronger asymptotic conditions and supertranslation ambiguities disappear. It is also clear from the result that 14 asymptotic gravitational charges are well defined on the `Schwarzschildean' background.