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The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon

Published version
Peer-reviewed

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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/m2. The mass is monotonically decreasing from twice the ADM mass at j=0 to 1.76569m at j=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.

Description

Keywords

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
Science and Technology Facilities Council (ST/P000681/1)
STFC (ST/T000694/1)