Marginally outer trapped surfaces in higher dimensions

Autor(en)

Tim-Torben Paetz, Walter Simon

Abstrakt

We review the basic setup of Kaluza-Klein theory, namely a 5-dimensional vacuum with a cyclic isometry, which corresponds to Einstein-Maxwell-dilaton theory in 4-dimensional spacetime. We first recall the behaviour of Killing horizons and its generators under bundle lift and projection. We then show that the property of compact surfaces of being (stably) marginally trapped is preserved under lift and projection provided the appropriate ("Pauli-") conformal scaling is used for the spacetime metric. We also discuss and compare recently proven area inequalities for stable axially symmetric 2-dimensional and 3-dimensional marginally outer trapped surfaces.

Organisation(en)

Gravitationsphysik

Journal

Classical and Quantum Gravity

Band

30

Anzahl der Seiten

14

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/30/23/235005

Publikationsdatum

12-2013

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 101006 Differentialgeometrie

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/f867c03b-2041-4d38-bdce-d685e75cd19d