The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon * * Dedicated to Gary Gibbons on the occasion of his 75th birthday.
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Dunajski, Maciej https://orcid.org/0000-0002-6477-8319
Tod, Paul https://orcid.org/0000-0002-6086-4850
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.
Description
Keywords
Paper, quasi local mass, hyperbolic embeddings, Kerr horizon
Journal Title
Classical and Quantum Gravity
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
38
Publisher
IOP Publishing
Publisher DOI
Sponsorship
STFC (ST/P000681/1, ST/T000694/1)