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