Isolated and dynamical horizons from a common perspective

Details Isolated and dynamical horizons from a common perspective Isolated and dynamical horizons from a common perspective

2006-05-02

arxiv.org/abs/gr-qc/0605019v2

Phys.Rev. D74 (2006) 104029

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, one figure, revtex4. v2: added various references in introduction and sec. 2, short discussion of applicability to s

Scientific paper

10.1103/PhysRevD.74.104029

A framework is developed in which one can write down the constraint equations on a three--dimensional hypersurface of arbitrary signature. It is then applied to isolated and dynamical horizons. The derived equations can be used to extract physicaly relevant quantities describing the horizon irrespective to whether it is isolated (null) or dynamical at a given instant of time. Furthermore, small perturbation of isolated horizons are considered, and finally a family of axially--symmetric exact solution of the constraint equations on a dynamical horizon is presented.

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