The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon
Publication Date
2021Journal Title
Classical and Quantum Gravity
ISSN
0264-9381
Publisher
IOP Publishing
Volume
38
Issue
23
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Dunajski, M., & Tod, P. (2021). The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon. Classical and Quantum Gravity, 38 (23) https://doi.org/10.1088/1361-6382/ac2cb6
Abstract
We use the isometric embedding of the spatial horizon of fast rotating Kerr
black hole in a hyperbolic space to compute the quasi-local mass of the horizon
for any value of the spin parameter $j=J/m^2$. The mass is monotonically
decreasing from twice the ADM mass at $j=0$ to $1.76569m$ at $j=\sqrt{3}/2$. It
then monotonicaly increases to a maximum around $j=0.99907$, and finally
decreases to $2.01966m$ for $j=1$ which corresponds to the extreme Kerr black
hole.
Keywords
Paper, quasi local mass, hyperbolic embeddings, Kerr horizon
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
STFC (ST/T000694/1)
Identifiers
cqgac2cb6, ac2cb6, cqg-108584.r1
External DOI: https://doi.org/10.1088/1361-6382/ac2cb6
This record's URL: https://www.repository.cam.ac.uk/handle/1810/329999
Rights
Licence:
https://creativecommons.org/licenses/by/4.0/
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