Energy in higher-dimensional spacetimes

Autor(en)

Hamed Barzegar, Piotr T. Chrusciel, Michael Hoerzinger

Abstrakt

We derive expressions for the total Hamiltonian energy of gravitating systems in higher-dimensional theories in terms of the Riemann tensor, allowing a cosmological constant Λ R. Our analysis covers asymptotically anti-de Sitter spacetimes, asymptotically flat spacetimes, as well as Kaluza-Klein asymptotically flat spacetimes. We show that the Komar mass equals the Arnowitt-Deser-Misner (ADM) mass in stationary asymptotically flat spacetimes in all dimensions, generalizing the four-dimensional result of Beig, and that this is no longer true with Kaluza-Klein asymptotics. We show that the Hamiltonian mass does not necessarily coincide with the ADM mass in Kaluza-Klein asymptotically flat spacetimes, and that the Witten positivity argument provides a lower bound for the Hamiltonian mass - and not for the ADM mass - in terms of the electric charge. We illustrate our results on the five-dimensional Rasheed metrics, which we study in some detail, pointing out restrictions that arise from the requirement of regularity, which have gone seemingly unnoticed so far in the literature.

Organisation(en)

Gravitationsphysik, Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik

Journal

Physical Review D

Band

96

Anzahl der Seiten

25

ISSN

2470-0010

DOI

https://doi.org/10.1103/PhysRevD.96.124002

Publikationsdatum

12-2017

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/876161bf-8b16-4884-b0b4-a087ab4e6d82