TY - JOUR
T1 - New formalism for numerical relativity
AU - Bona, Carles
AU - Mass, Joan
AU - Seidel, Edward
AU - Stela, Joan
PY - 1995
Y1 - 1995
N2 - We present a new formulation of the Einstein equations that casts them in an explicitly first order, flux-conservative, hyperbolic form. We show that this now can be done for a wide class of time slicing conditions, including maximal slicing, making it potentially very useful for numerical relativity. This development permits the application to the Einstein equations of advanced numerical methods developed to solve the fluid dynamic equations, without overly restricting the time slicing, for the first time. The full set of characteristic fields and speeds is explicitly given.
AB - We present a new formulation of the Einstein equations that casts them in an explicitly first order, flux-conservative, hyperbolic form. We show that this now can be done for a wide class of time slicing conditions, including maximal slicing, making it potentially very useful for numerical relativity. This development permits the application to the Einstein equations of advanced numerical methods developed to solve the fluid dynamic equations, without overly restricting the time slicing, for the first time. The full set of characteristic fields and speeds is explicitly given.
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U2 - 10.1103/PhysRevLett.75.600
DO - 10.1103/PhysRevLett.75.600
M3 - Article
C2 - 10060068
AN - SCOPUS:4243957354
SN - 0031-9007
VL - 75
SP - 600
EP - 603
JO - Physical review letters
JF - Physical review letters
IS - 4
ER -