Quasi-local rotating black holes in higher dimension: geometry

Details Quasi-local rotating black holes in higher dimension: geometry Quasi-local rotating black holes in higher dimension: geometry

2004-10-28

arxiv.org/abs/gr-qc/0410146v1

Class.Quant.Grav. 22 (2005) 1573-1598

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, RevTex4

Scientific paper

10.1088/0264-9381/22/9/007

With a help of a generalized Raychaudhuri equation non-expanding null surfaces are studied in arbitrarily dimensional case. The definition and basic properties of non-expanding and isolated horizons known in the literature in the 4 and 3 dimensional cases are generalized. A local description of horizon's geometry is provided. The Zeroth Law of black hole thermodynamics is derived. The constraints have a similar structure to that of the 4 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.

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