317 citations · 1.1k across the 50 of their papers we have counts for
52 papers
Computational approach to the Schottky problem
E. Brandon de Leon, J. Frauendiener, C. Klein
We present a computational approach to the classical Schottky problem based on Fay's trisecant identity for genus . For a given Riemann matrix $\mathbb{B}\in\mathbb{H}^{g}…
New Horizons for Fundamental Physics with LISA
K. G. Arun, Enis Belgacem, Robert Benkel +138
The Laser Interferometer Space Antenna (LISA) has the potential to reveal wonders about the fundamental theory of nature at play in the extreme gravity regime, where the gravitatio…
Numerical study of Davey-Stewartson I systems
J. Frauendiener, C. Klein, U. Muhammad +1
An efficient high precision hybrid numerical approach for integrable Davey-Stewartson (DS) I equations for trivial boundary conditions at infinity is presented for Schwartz class i…
The non-linear perturbation of a black hole by gravitational waves. I. The Bondi-Sachs mass loss
Jörg Frauendiener, Chris Stevens
The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the respo…
Can gravitational waves halt the expansion of the universe?
Jörg Frauendiener, Jonathan Hakata, Chris Stevens
We numerically investigate the propagation of plane gravitational waves in the form of an initial boundary value problem with de Sitter initial data. The full non-linear Einstein e…
A new look at the Bondi-Sachs energy-momentum
Jörg Frauendiener, Chris Stevens
How does one compute the Bondi mass on an arbitrary cut of null infinity $\scri$ when it is not presented in a Bondi system? What then is the correct definition of the mass aspect?…