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20032009
most citedOn the adaptive elastic-net with a diverging number of parameters

881 citations

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6 papers · 1 filter

gr-qc2009118 cited

Covariant formulations of BSSN and the standard gauge

J. David Brown

The BSSN and standard gauge equations are written in covariant form with respect to spatial coordinate transformations. The BSSN variables are defined as tensors with no density we…

gr-qc20074 cited

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…

gr-qc200773 cited

Excision without excision: the relativistic turducken

David Brown, Olivier Sarbach, Erik Schnetter +4

to turducken (turduckens, turduckening, turduckened, turduckened) [math.]: To stuff a black hole. We analyze and apply an alternative to black hole excision based on smoothing the…

gr-qc200736 cited

BSSN in Spherical Symmetry

David Brown

The BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation of the Einstein evolution equations is written in spherical symmetry. These equations can be used to address a number of t…

gr-qc200758 cited

Puncture Evolution of Schwarzschild Black Holes

J. David Brown

The moving puncture method is analyzed for a single, non-spinning black hole. It is shown that the puncture region is not resolved by current numerical codes. As a result, the geom…

gr-qc20032 cited

The Issue of Time in Quantum Geometrodynamics

Nathan D. George, Adrian P. Gentle, Arkady Kheyfets +1

Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to cause insurmountable difficulties in the description of time evolution. We forwar…