The Schwarzschild \(H\) space
type: Item
instance of: scholarly article
title: The Schwarzschild \(H\) space
zbMATH Open document ID: 0564.53040
DOI: 10.1007/BF00760530
author: John R. Porter
published in: General Relativity and Gravitation
publication date: 1985-01-01T00:00:00Z
review text: The usual construction of an \(H\) space from asymptotic data on \(I^+\) uses only the radiative component of the asymptotic gravitational field and ignores the longitudinal part of the field [\textit{M. Ko}, \textit{M. Ludvigsen}, \textit{E. T. Newman} and \textit{K. P. Tod}, Phys. Rep. 71, 1--139 (1981)]. While Penrose and Sparling [cf. \textit{P. Hughston} (ed.) and \textit{R. S. Ward} (ed.), Advances in Twistor Theory (1979; Zbl 0463.53039)] have given the construction of a deformed twistor space encoding the Schwarzschild structure by exponentiating the linearized spin 2 monopole field, one would like to have a direct \(H\) space construction as a step toward constructing \(H\) spaces containing all the asymptotic degrees of freedom. The first step of giving a direct \(H\) space construction for the Schwarzschild asymptotic data is contained in this paper. Several interesting new structures arise in this process.
Mathematics Subject Classification ID: 83C30
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 3899708
zbMATH Keywords: H space
zbMATH Keywords: asymptotic degrees of freedom
zbMATH Keywords: Schwarzschild asymptotic data
MaRDI profile type: Publication
cites work: Self-dual Yang–Mills fields on Minkowski space–time
full work available at URL: https://doi.org/10.1007/bf00760530
OpenAlex ID: W2061762360
description: scientific article; zbMATH DE number 3899708