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Journal Article

#### Black-hole horizons as probes of black-hole dynamics I: post-merger recoil in head-on collisions

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##### Fulltext (public)

1108.0060

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PRD85_084030.pdf

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##### Supplementary Material (public)

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##### Citation

Jaramillo, J. L., Macedo, R. P., Moesta, P., & Rezzolla, L. (2012). Black-hole
horizons as probes of black-hole dynamics I: post-merger recoil in head-on collisions.* Physical Review
D,* *85*: 084030. doi:10.1103/PhysRevD.85.084030.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-EEE4-B

##### Abstract

The understanding of strong-field dynamics near black-hole horizons is a
long-standing and challenging prob- lem in general relativity. Recent advances
in numerical relativity and in the geometric characterization of black- hole
horizons open new avenues into the problem. In this first paper in a series of
two, we focus on the analysis of the recoil occurring in the merger of binary
black holes, extending the analysis initiated in [1] with Robinson- Trautman
spacetimes. More specifically, we probe spacetime dynamics through the
correlation of quantities defined at the black-hole horizon and at null
infinity. The geometry of these hypersurfaces responds to bulk gravitational
fields acting as test screens in a scattering perspective of spacetime
dynamics. Within a 3 + 1 approach we build an effective-curvature vector from
the intrinsic geometry of dynamical-horizon sections and correlate its
evolution with the flux of Bondi linear momentum at large distances. We employ
this setup to study numerically the head-on collision of nonspinning black
holes and demonstrate its validity to track the qualita- tive aspects of recoil
dynamics at infinity. We also make contact with the suggestion that the
antikick can be described in terms of a "slowness parameter" and how this can
be computed from the local properties of the horizon. In a companion paper [2]
we will further elaborate on the geometric aspects of this approach and on its
relation with other approaches to characterize dynamical properties of
black-hole horizons.