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
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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: 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.
Paper, quasi local mass, hyperbolic embeddings, Kerr horizon
STFC (ST/P000681/1, ST/T000694/1)
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