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24 papers
Numerical investigation of the dynamics of linear spin fields on a Kerr background II: Superradiant scattering
Károly Zoltán Csukás, István Rácz
Superradiant scattering of linear spin fields on Kerr black hole background is investigated in the time domain by integrating numerically the homogeneous Teukolsk…
Numerical investigations of the asymptotics of solutions to the evolutionary form of the constraints
Károly Csukás, István Rácz
Systematic numerical investigations of the asymptotics of near Schwarzschild vacuum initial data sets is carried out by inspecting solutions to the parabolic-hyperbolic and to the…
Petrov type D equation on horizons of nontrivial bundle topology
Denis Dobkowski-Ryłko, Jerzy Lewandowski, István Rácz
We consider -dimensional isolated horizons (IHs) generated by null curves that form nontrivial bundles. We find a natural interplay between the IH geometry and the …
Numerical investigation of the dynamics of linear spin fields on Kerr background I. Late time tails of spin fields
Károly Csukás, István Rácz, Gábor Zsolt Tóth
The time evolution of linear fields of spin and on Kerr black hole spacetimes are investigated by solving the homogeneous Teukolsky equation numerically. Th…
Symmetries of vacuum spacetimes with a compact Cauchy horizon of constant non-zero surface gravity
Oliver Petersen, István Rácz
We prove that any smooth vacuum spacetime containing a compact Cauchy horizon with surface gravity that can be normalised to a non-zero constant admits a Killing vector field. This…
Toward computing gravitational initial data without elliptic solvers
István Rácz, Jeffrey Winicour
Two new methods have been proposed for solving the gravitational constraints without using elliptic solvers by formulating them as either an algebraic-hyperbolic or parabolic-hyper…