Research Interests : Wolfgang Tichy
نویسنده
چکیده
My main expertise is in numerical simulations of the Einstein equations in the fully non-linear regime. In particular, I am working on simulations of binary black hole systems. I have experience in both the time evolution of such systems and also in the construction of realistic initial data. Modeling the inspiral and merger phase of black hole binaries is one of the major challenges in gravitational wave physics today. Advances in supercomputer technology, new formulations of the evolution equations, improved numerical methods, and more realistic initial data will make it possible to perform such simulations in the near future. The results of these simulations will most likely be used to extract and analyze signals of binary black hole inspirals and mergers from data acquired by interferometric detectors such as LIGO, GEO, VIRGO, TAMA and LISA. Apart from being a pressing problem from the data analysis viewpoint, the binary black hole problem is also of fundamental importance as it probes the fully non-linear regime of Einstein’s equations. Both these aspects make it very exciting for me to work in this field. In addition my research interests also span a broad range of other topics in relativity and astrophysics including post-Newtonian theory, gravitational waves, radiation reaction, and semiclassical relativity. In my opinion it is very important to have a broad range of knowledge and interests. This “big picture” view facilitates cooperation with researchers in other areas of science.
منابع مشابه
{nkx} and diophantine equations
We establish a law of the iterated logarithm for the discrepancy of sequences (nkx) mod 1 where (nk) is a sequence of integers satisfying a sub-Hadamard growth condition and such that one and four-term Diophantine equations in the variables nk do not have too many solutions. The conditions are discussed, the probabilistic details of the proof are given elsewhere. As a corollary to our results, ...
متن کاملMetric discrepancy results for sequences {nkx} and diophantine equations
We establish a law of the iterated logarithm for the discrepancy of sequences (nkx) mod 1 where (nk) is a sequence of integers satisfying a sub-Hadamard growth condition and such that one and four-term Diophantine equations in the variables nk do not have too many solutions. The conditions are discussed, the probabilistic details of the proof are given elsewhere. As a corollary to our results, ...
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We present numerical simulations of binary black hole systems which for the first time last for about one orbital period for close but still separate black holes as indicated by the absence of a common apparent horizon. An important part of the method is the construction of comoving coordinates, in which both the angular and the radial motion are minimized through a dynamically adjusted shift c...
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Final mass and spin of black-hole mergers
We consider black holes resulting from binary black-hole mergers. By fitting to numerical results we construct analytic formulas that predict the mass and spin of the final black hole. Our formulas are valid for arbitrary initial spins and mass ratios and agree well with available numerical simulations. We use our spin formula in the context of two common merger scenarios for supermassive galac...
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