The Schwarzschild \(H\) space
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.
scientific article; zbMATH DE number 3899708