392 citations
- Friedrich Schiller University JenaDE3 papers
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9 papers · 1 filter
Pattern Avoiding Ballot Paths and Finite Operator Calculus
Heinrich Niederhausen, Shaun Sullivan
Counting pattern avoiding ballot paths begins with a careful analysis of the pattern. Not the length, but the characteristics of the pattern are responsible for the difficulties in…
High-spin binary black hole mergers
Pedro Marronetti, Wolfgang Tichy, Bernd Brügmann +2
We study identical mass black hole binaries with spins perpendicular to the binary's orbital plane. These binaries have individual spins ranging from to 0.90, ($s_1 =…
The periodic standing-wave approximation: post-Minkowski computation
Christopher Beetle, Benjamin Bromley, Napoleón Hernández +1
The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation…
Non--Localizability of Electric Coupling and Gravitational Binding of Charged Objects
Matthew Corne, Arkady Kheyfets, Warner Miller
The energy--momentum tensor in general relativity contains only localized contributions to the total energy--momentum. Here, we consider a static, spherically symmetric object cons…
Self Improving Sobolev-Poincare Inequalities, Truncation and Symmetrization
Joaquim Martin, Mario Milman
In a previous paper we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in . In this paper we extend our method to Sobolev…
Black hole puncture initial data with realistic gravitational wave content
Bernard J Kelly, Wolfgang Tichy, Manuela Campanelli +1
We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al.…