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22 papers · 2 filters
Hyperboloidal foliations with scri-fixing in spherical symmetry
Anil Zenginoglu, Sascha Husa
We study in spherical symmetry the conformal compactification for hyperboloidal foliations with nonvanishing constant mean curvature. The conformal factor and the coordinates are c…
Spectral Analysis of the Volume Operator in Loop Quantum Gravity
J. Brunnemann, D. Rideout
We describe preliminary results of a detailed numerical analysis of the volume operator as formulated by Ashtekar and Lewandowski. Due to a simplified explicit expression for its m…
Celestial mechanics of elastic bodies
Robert Beig, Bernd G. Schmidt
We construct time independent configurations of two gravitating elastic bodies. These configurations either correspond to the two bodies moving in a circular orbit around their cen…
Multi-Domain Spectral Method for Initial Data of Arbitrary Binaries in General Relativity
Marcus Ansorg
We present a multi-domain spectral method to compute initial data of binary systems in General Relativity. By utilizing adapted conformal coordinates, the vacuum region exterior to…
Numerical calculations near spatial infinity
Anil Zenginoglu
After describing in short some problems and methods regarding the smoothness of null infinity for isolated systems, I present numerical calculations in which both spatial and null…
Late-time oscillatory behaviour for self-gravitating scalar fields
Alan D. Rendall
This paper investigates the late-time behaviour of certain cosmological models where oscillations play an essential role. Rigorous results are proved on the asymptotics of homogene…