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Showing 2006 · gr-qcShow all

31 papers · 2 filters

gr-qc2006★ 1 cited

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…

gr-qc2006★ 111 cited

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…

gr-qc2006★ 22 cited

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…

gr-qc2006★ 37 cited

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…

gr-qc2006★ 6 cited

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…

gr-qc2006★ 36 cited

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…