20 citations · 59 across the 6 of their papers we have counts for
6 papers
Generalized harmonic spatial coordinates and hyperbolic shift conditions
Miguel Alcubierre, Alejandro Corichi, José A. González +3
We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al., and closely rel…
Constraint and gauge shocks in one-dimensional numerical relativity
Bernd Reimann, Miguel Alcubierre, José A. González +1
We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent c…
Slice Stretching at the Event Horizon when Geodesically Slicing the Schwarzschild Spacetime with Excision
Bernd Reimann
Slice-stretching effects are discussed as they arise at the event horizon when geodesically slicing the extended Schwarzschild black-hole spacetime while using singularity excision…
Slice Stretching Effects for Maximal Slicing of a Schwarzschild Black Hole
Bernd Reimann
Slice stretching effects such as slice sucking and slice wrapping arise when foliating the extended Schwarzschild spacetime with maximal slices. For arbitrary spatial coordinates t…
Late Time Analysis for Maximal Slicing of Reissner-Nordström Puncture Evolutions
Bernd Reimann, Bernd Bruegmann
We perform an analytic late time analysis for maximal slicing of the Reissner-Nordström black hole spacetime. In particular, we discuss the collapse of the lapse in terms of its la…
Maximal Slicing for Puncture Evolutions of Schwarzschild and Reissner-Nordström Black Holes
Bernd Reimann, Bernd Bruegmann
We prove by explicit construction that there exists a maximal slicing of the Schwarzschild spacetime such that the lapse has zero gradient at the puncture. This boundary condition…