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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