Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor
- Author(s)
- Florian Beyer, Tim-Torben Paetz
- Abstract
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 scri (i.e. for $\Lambda >0$). In contrast to the Bianchi equation, the MST equation is of Fuchsian type at scri, for which existence and uniqueness results are derived.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- University of Otago
- Journal
- Journal of Mathematical Physics
- Volume
- 59
- No. of pages
- 38
- ISSN
- 0022-2488
- DOI
- https://doi.org/10.1063/1.4996700
- Publication date
- 07-2017
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity
- Keywords
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, Mathematical Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/analysis-of-a-bianchilike-equation-satisfied-by-the-marssimon-tensor(08d3cb59-bc92-4d7d-8b8d-e2c73dfe643d).html