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Initial data for rotating cosmologies

Autor(en)
Piotr Bizon, Stefan Pletka, Walter Simon
Abstrakt

We revisit the construction of maximal initial data on compact manifolds in vacuum with positive cosmological constant via the conformal method. We discuss, extend and apply recent results of Hebey et al (2008 Commun. Math. Phys. 278 117) and Premoselli (2015 Calc. Var. 53 29-64) which yield existence, non-existence, (non-)uniqueness and (linearization-) stability of solutions of the Lichnerowicz equation, depending on its coefficients. We then focus on so-called -symmetric data as 'seed manifolds', and in particular on Bowen-York data on the round hypertorus (a slice of Nariai) and on Kerr-deSitter (KdS). In the former case, we clarify the bifurcation structure of the axially symmetric solutions of the Lichnerowicz equation in terms of the angular momentum as a bifurcation parameter, using a combination of analytical and numerical techniques. As to the latter example, we show how dynamical data can be constructed in a natural way via conformal rescalings of KdS data.

Organisation(en)
Gravitationsphysik
Externe Organisation(en)
Jagiellonian University in Krakow, Universität Wien
Journal
Classical and Quantum Gravity
Band
32
Anzahl der Seiten
21
ISSN
0264-9381
DOI
https://doi.org/10.1088/0264-9381/32/17/175015
Publikationsdatum
09-2015
Peer-reviewed
Ja
ÖFOS 2012
103004 Astrophysik, 103028 Relativitätstheorie
Schlagwörter
ASJC Scopus Sachgebiete
Physics and Astronomy (miscellaneous)
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/1877ade5-5855-4a05-8bc7-6d02ac3bd951