The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon * * Dedicated to Gary Gibbons on the occasion of his 75th birthday.
Publication Date
2021-10-28Journal 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 * * Dedicated to Gary Gibbons on the occasion of his 75th birthday.. Classical and Quantum Gravity, 38 (23) https://doi.org/10.1088/1361-6382/ac2cb6
Abstract
Abstract: We use an isometric embedding of the cross-over surface of the outer horizon of a rapidly rotating Kerr black hole in a hyperbolic space to compute the quasi-local mass of the horizon for any allowed value of the spin parameter j = J/m 2. The mass is monotonically decreasing from twice the ADM mass at j = 0 to 1.765 69m at j=3/2 . It then monotonically increases to a maximum around j = 0.999 07, and finally decreases to 2.019 66m for j = 1 which corresponds to the extreme Kerr black hole.
Keywords
Paper, quasi local mass, hyperbolic embeddings, Kerr horizon
Sponsorship
STFC (ST/P000681/1, 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/1810/329998
Rights
Licence:
https://creativecommons.org/licenses/by/4.0/
Statistics
Total file downloads (since January 2020). For more information on metrics see the
IRUS guide.