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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

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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

Volume Title

38

Publisher

IOP Publishing
Sponsorship
STFC (ST/P000681/1, ST/T000694/1)