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Journal Article

Introduction to dynamical horizons in numerical relativity

MPS-Authors

Schnetter,  Erik
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Krishnan,  Badri
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Beyer,  Florian
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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prd024028.pdf
(Publisher version), 764KB

0604015.pdf
(Preprint), 476KB

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Citation

Schnetter, E., Krishnan, B., & Beyer, F. (2006). Introduction to dynamical horizons in numerical relativity. Physical Review D, 74(2): 024028.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4BE4-2
Abstract
This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent situations. In particular: (i) We locate various kinds of marginal surfaces and study their time evolution. An important ingredient is the calculation of the signature of the horizon, which can be either spacelike, timelike, or null. (ii) We generalize the calculation of the black hole mass and angular momentum, which were previously defined for axisymmetric isolated horizons to dynamical situations. (iii) We calculate the source multipole moments of the black hole which can be used to verify that the black hole settles down to a Kerr solution. (iv) We also study the fluxes of energy crossing the horizon, which describes how a black hole grows as it accretes matter and/or radiation. We describe our numerical implementation of these concepts and apply them to three specific test cases, namely, the axisymmetric head-on collision of two black holes, the axisymmetric collapse of a neutron star, and a non-axisymmetric black hole collision with non-zero initial orbital angular momentum.