Where do moving punctures go? Hannam, Mark; Husa, Sascha; Brügmann, Bernd ...
Journal of physics. Conference series,
05/2007, Letnik:
66, Številka:
1
Journal Article
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Currently the most popular method to evolve black-hole binaries is the "moving puncture" method. It has recently been shown that when puncture initial data for a Schwarzschild black hole are evolved ...using this method, the numerical slices quickly lose contact with the second asymptotically flat end, and end instead on a cylinder of finite Schwarzschild coordinate radius. These slices are stationary, meaning that their geometry does not evolve further. We will describe these results in the context of maximal slices, and present time-independent puncture-like data for the Schwarzschild spacetime.
Sequences of nonsingular, asymptotically flat initial data for general relativity (GR) in vacuo, called critical sequences, are defined which approach the strong-field limit of GR in a precise sense. ...It is proven that critical sequences contain trapped surfaces for large values of the argument. Thus, by a theorem due to Penrose, the spacetimes evolving from all such configurations must develop singularities. In the course of the proof a new and conceptually simple proof of the positivity of the Arnowitt- Deser-Misner mass in the strong-field regime is obtained. (Author)
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