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Journal Article

Quasi-local rotating black holes in higher dimension: geometry

MPS-Authors

Lewandowski,  Jerzy
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Pawlowski,  Tomasz
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

cqg5_9_007.pdf
(Publisher version), 264KB

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Citation

Lewandowski, J., & Pawlowski, T. (2005). Quasi-local rotating black holes in higher dimension: geometry. Classical and Quantum Gravity, 22(9), 1573-1598.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4E26-7
Abstract
With the help of a generalized Raychaudhuri equation non-expanding null surfaces are studied in an arbitrary dimensional case. The definition and basic properties of non-expanding and isolated horizons known in the literature in the four- and three-dimensional cases are generalized. A local description of the horizon's geometry is provided. The zeroth law of black-hole thermodynamics is derived. The constraints have a similar structure to that of the four-dimensional spacetime case. The geometry of a vacuum isolated horizon is determined by the induced metric and the rotation 1-form potential, local generalizations of the area and the angular momentum typically used in the stationary black-hole solutions case.