2018/01/31 by Mikhail Z. Iofa
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Deriving the Schwarzschild solution #Einstein #Field (mathematics) #General relativity #Geometry #Gravitation #Homogeneous space #Horizon #Kerr metric #Killing vector field #Mathematical physics #Mathematics #Metric (unit) #Physics #Pure mathematics #Schwarzschild metric #Schwarzschild radius #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.99.064052
published as Phys. Rev. D 99, 064052 (2019) · 13 pages. Slightly extended published version
openalex created_date 2018/01/26 · openalex publication_date 2019/03/29 · arxiv created 2019/04/01 · arxiv updated 2019/04/03 · openalex updated_date 2026/08/05
Using the exact solution to Einstein equations of Compere and Long for the Schwarzschild metric containing the supertranslation field, we study the near-horizon symmetries of the metric. We consider a class of metrics with a supertranslation field depending only on a spherical angle \ensuremathθ. After reviewing the action of supertranslations preserving the static gauge of the metric, we study general transformations preserving the near-horizon form of the metric. We determine the asymptotic Killing vectors and calculate the charge corresponding to the asymptotic symmetries preserving the form of the metric at the horizon.