2017/08/31 by Thomas Mädler, Jeffrey Winicour · 9 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #General relativity #Gravitation #Infinity #Kerr metric #Mathematical analysis #Mathematical physics #Metric (unit) #Minkowski space #Null (SQL) #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Schwarzschild metric #Schwarzschild radius #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/aaa18e
published in Classical and Quantum Gravity 35(3), 035009 (IOP Publishing) · 13 pages, matches published version
openalex publication_date 2017/12/13 · arxiv created 2018/01/08 · arxiv updated 2018/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract The Kerr–Schild version of the Schwarzschild metric contains a Minkowski background which provides a definition of a boosted black hole. There are two Kerr–Schild versions corresponding to ingoing or outgoing principle null directions. We show that the two corresponding Minkowski backgrounds and their associated boosts have an unexpected difference. We analyze this difference and discuss the implications in the nonlinear regime for the gravitational memory effect resulting from the ejection of massive particles from an isolated system. We show that the nonlinear effect agrees with the linearized result based upon the retarded Green function only if the velocity of the ejected particle corresponds to a boost symmetry of the ingoing Minkowski background. A boost with respect to the outgoing Minkowski background is inconsistent with the absence of ingoing radiation from past null infinity.