Add to ORKGWe discuss an equivalence between the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the Einstein evolution equations, a subfamily of the Kidder-Scheel-Teukolsky formulation, and other strongly or symmetric hyperbolic first order systems with fixed shift and densitized lapse. This allows us to show under which conditions the BSSN system is, in a sense to be discussed, hyperbolic. This desirable property may account in part for the empirically observed better behavior of the BSSN formulation in numerical evolutions involving black holes. © 2002 The American Physical Society
We propose a reformulation of the Einstein evolution equations that cleanly separates the conformal ...
We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of t...
The Einstein evolution equations may be written in a variety of equivalent analytical forms, but num...
We discuss an equivalence between the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the E...
We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shiba...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
We present a new many-parameter family of hyperbolic representations of Einstein’s equations, which ...
The puncture method for dealing with black holes in the numerical simulation of vacuum spacetimes is...
We describe a numerical code that solves Einstein’s equations for a Schwarzschild black hole in sphe...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equa...
The Einstein evolution equations have previously been written in a number of symmetric hyperbolic fo...
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical sim...
We have recently constructed a numerical code that evolves a spherically symmetric spacetime using a...
In order to perform accurate and stable long-term numerical integration of the Einstein equations, s...
We propose a reformulation of the Einstein evolution equations that cleanly separates the conformal ...
We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of t...
The Einstein evolution equations may be written in a variety of equivalent analytical forms, but num...
We discuss an equivalence between the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the E...
We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shiba...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
We present a new many-parameter family of hyperbolic representations of Einstein’s equations, which ...
The puncture method for dealing with black holes in the numerical simulation of vacuum spacetimes is...
We describe a numerical code that solves Einstein’s equations for a Schwarzschild black hole in sphe...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equa...
The Einstein evolution equations have previously been written in a number of symmetric hyperbolic fo...
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical sim...
We have recently constructed a numerical code that evolves a spherically symmetric spacetime using a...
In order to perform accurate and stable long-term numerical integration of the Einstein equations, s...
We propose a reformulation of the Einstein evolution equations that cleanly separates the conformal ...
We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of t...
The Einstein evolution equations may be written in a variety of equivalent analytical forms, but num...