Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..493...35w&link_type=abstract
Eighth Canadian conference on general relativity and relativistic astrophysics. AIP Conference Proceedings, Volume 493, pp. 35-
Astronomy and Astrophysics
Astrophysics
Classical Black Holes, Black Holes, Wave Generation And Sources
Scientific paper
I review the characteristic initial value problem, its implementation as a robust computational algorithm for a 4-dimensional vacuum space-time (the PITT NULL CODE) and its application to the calculation of gravitational waveforms emitted by black holes. I describe the potential applications of the code to the binary black hole problem, via Cauchy-characteristic matching or pure characteristic evolution. In particular, the event horizon is itself a characteristic hypersurface and can be treated by characteristic methods as a stand-alone object. This allows an analytic treatment of the intrinsic geometry of the event horizon for colliding black holes which produces the pair-of-pants horizon found in the numerical simulation of the head-on-collision of black holes and the initially toroidal event horizon found in the simulation of a collapsing, rotating cluster. Most previous studies of black hole formation and merger are restricted to the axisymmetric case. However, axisymmetric horizons, like the Schwarzschild horizon, are non-generic. When applied to a non-axisymmetric horizon, the characteristic approach reveals substantially new features. In particular, coalescing black holes generically go through a toroidal phase before they become spherical. In a bigger picture, this analytic model of the event horizon provides part of the data for a simulation of the space-time exterior to a binary merger by means of the null code.
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