Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-12-21
Class.Quant.Grav. 22 (2005) 2001-2016
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
25 pages, 4 figures (eps), last sections revised, acknowledgements and a section about the gauge invariance of introduced quan
Scientific paper
10.1088/0264-9381/22/11/006
Recently a multidimensional generalization of Isolated Horizon framework has been proposed by Lewandowski and Pawlowski (gr-qc/0410146). Therein the geometric description was easily generalized to higher dimensions and the structure of the constraints induced by the Einstein equations was analyzed. In particular, the geometric version of the zeroth law of the 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 arbitrary dimensional IH. We also propose a definition of energy for non--rotating horizons.
Korzynski Mikolaj
Lewandowski Jerzy
Pawlowski Tomasz
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