Introduction to isolated horizons in numerical relativity

By O. Dreyer, B. Krishnan, E. Schnetter, D. Shoemaker. 2002

203 citations recorded by the source corpus.

We present a coordinate-independent method for extracting mass (M�) and angular momentum (J�) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole has reached equilibrium, and at early times when the black holes are widely separated. Assuming that the spatial hypersurfaces used in a given numerical simulation are such that apparent horizons exist and have been located on these ˜ �

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d8efa5d29b857daafb7a58fe83323dc447398fd4

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Citations in the corpus

Turduckening black holes: An Analytical and computational study (2008, background): “(27) in [45] for a definition of the horizon mass used here).”
A 3+1 perspective on null hypersurfaces and isolated horizons (2005, methodology): “Another example of a posteriori extraction of physics is provided in [65,108].”
The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics (2011, methodology): “The module QuasiLocalMeasures implements the calculation of mass and spin multipoles from the isolated and dynamical horizon formalism [176, 177], as well as a number of other proposed formulas for quasi-local mass, linear momentum and angular momentum that have been advanced over the years [178].”
A Fast Apparent‐Horizon Finder for 3‐Dimensional Cartesian Grids in Numerical Relativity (2003, background): “) Apparent horizons are also interesting due to their close relationship to isolated horizons, which have many useful properties (see [7, 22] and references therein).”
Black-hole binaries, gravitational waves, and numerical relativity (2010, background): “When a black hole is sufficiently isolated, it is possible to define a mass and spin magnitude from data evaluated on the horizon (Campanelli et al., 2009, 2006c; Dreyer et al., 2003), as well as linear momentum (Krishnan et al., 2007).”