Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor

作者：Beyer Florian^*; Paetz Tim Torben

来源：Journal of Mathematical Physics, 2018, 59(2): 022501.

DOI：10.1063/1.4996700

The Mars-Simon tensor (MST), which, e.g., plays a crucial role to provide gauge invariant characterizations of the Kerr-NUT-(A)(dS) family, satisfies a Bianchi-like equation. In this paper, we analyze this equation in close analogy to the Bianchi equation, in particular it will be shown that the constraints are preserved supposing that a generalized Buchdahl condition holds. This permits the systematic construction of solutions to this equation in terms of a well-posed Cauchy problem. A particular emphasis lies on the asymptotic Cauchy problem, where data are prescribed on a spacelike I (i.e., for Lambda > 0). In contrast to the Bianchi equation, the MST equation is of Fuchsian type at I, for which existence and uniqueness results are derived. Published by AIP Publishing.

• 出版日期2018-2