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Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor
- Autor(en)
- Florian Beyer, Tim-Torben Paetz
- Abstrakt
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(en)
- Gravitationsphysik
- Externe Organisation(en)
- University of Otago
- Journal
- Journal of Mathematical Physics
- Band
- 59
- Anzahl der Seiten
- 38
- ISSN
- 0022-2488
- DOI
- https://doi.org/10.1063/1.4996700
- Publikationsdatum
- 07-2017
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103028 Relativitätstheorie
- Schlagwörter
- ASJC Scopus Sachgebiete
- Statistical and Nonlinear Physics, Mathematical Physics
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/08d3cb59-bc92-4d7d-8b8d-e2c73dfe643d