Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-26
Phys.Rev.D82:104037,2010
Physics
High Energy Physics
High Energy Physics - Theory
REvTex4, 17 pages, 12 Figs. v2: Minor improvements. Published version. Animation of a black hole binary in a box can be found
Scientific paper
10.1103/PhysRevD.82.104037
The evolution of black holes in "confining boxes" is interesting for a number of reasons, particularly because it mimics the global structure of Anti-de Sitter geometries. These are non-globally hyperbolic space-times and the Cauchy problem may only be well defined if the initial data is supplemented by boundary conditions at the time-like conformal boundary. Here, we explore the active role that boundary conditions play in the evolution of a bulk black hole system, by imprisoning a black hole binary in a box with mirror-like boundary conditions. We are able to follow the post-merger dynamics for up to two reflections off the boundary of the gravitational radiation produced in the merger. We estimate that about 15% of the radiation energy is absorbed by the black hole per interaction, whereas transfer of angular momentum from the radiation to the black hole is only observed in the first interaction. We discuss the possible role of superradiant scattering for this result. Unlike the studies with outgoing boundary conditions, both the Newman-Penrose scalars \Psi_4 and \Psi_0 are non-trivial in our setup, and we show that the numerical data verifies the expected relations between them.
Cardoso Vitor
Herdeiro Carlos
Nerozzi Andrea
Sperhake Ulrich
Witek Helvi
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