Recollapsing spacetimes with Λ < 0

Autor(en)

David Fajman, Maximilian Kraft

Abstrakt

We show that any homogeneous initial data set with Λ < 0 on a product three-manifold of orthogonal form ( S 1 × F , a 0 2 d z 2 + b 0 2 σ 2 , c 0 d z 2 + d 0 σ ) , where ( F , σ ) is a closed two-surface of constant curvature and a 0 , … , d 0 are suitable constants, recollapses under the Einstein-flow with a negative cosmological constant and forms crushing singularities at the big bang and the big crunch, respectively. Towards certain singularities among those the Kretschmann scalar remains bounded. We then show that the presence of a massless scalar field causes the Kretschmann scalar to blow-up towards both ends of spacetime for all solutions in the corresponding class. By standard arguments this recollapsing behaviour extends to an open neighbourhood in the set of initial data sets and is in this sense generic close to the homogeneous regime.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Universität Wien

Journal

Classical and Quantum Gravity

Band

40

Anzahl der Seiten

34

ISSN

0264-9381

DOI

https://doi.org/10.48550/arXiv.2211.04059

Publikationsdatum

07-2023

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0455b30a-1477-43dd-96f3-b1bb21760e7c