Isolated and dynamical horizons from a common perspective
arXiv:gr-qc/0605019 · doi:10.1103/PhysRevD.74.104029
Abstract
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.
12 pages, one figure, revtex4. v2: added various references in introduction and sec. 2, short discussion of applicability to slowly evolving horizons in sec. 4B. Several minor corrections throughout text
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- Constraint equations for general hypersurfaces and applications to shells
- Quasi--local angular momentum of non--symmetric isolated and dynamical horizons from the conformal decomposition of the metric
- Toroidal marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities
- Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
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