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Journal Article

Mechanics of multidimensional isolated horizons


Korzynski,  Mikolaj
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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

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Korzynski, M., Lewandowski, J., & Pawlowski, T. (2005). Mechanics of multidimensional isolated horizons. Classical and Quantum Gravity, 22(11), 2001-2016.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4E0C-3
Recently, a multidimensional generalization of the isolated horizon framework has been proposed (Lewandowski and Pawlowski 2005 Class. Quantum Grav. 22 1573–98). Therein the geometric description was easily generalized to higher dimensions and the structure of the constraints induced by the Einstein equations was analysed. In particular, the geometric version of the zeroth law of black-hole thermodynamics was proved. In this work, we show how the IH mechanics can be formulated in a dimension-independent fashion and derive the first law of BH thermodynamics for arbitrarily dimensional IH. We also propose a definition of energy for non-rotating horizons.