International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrained scheme and a generalization of Dirac gauge to spherical coordinates. This is made possible thanks to the introduction of a flat 3-metric on the spatial hypersurfaces t=const, which corresponds to the asymptotic structure of the physical 3-metric induced by the spacetime metric. Thanks to the joint use of Dirac gauge, maximal slicing and spherical components of tensor fields, the ten Einstein equations are reduced to a system of five quasilinear elliptic equations (including the Hamiltonian and momentum constraints) coupled to two quasilinear scalar wave equations. The remaining 3 degrees of freedom are fixed by the Dirac gauge. Indeed thi...
The numerical evolution of Einstein's field equations in a generic background has the potential to a...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The numerical evolution of Einstein's field equations in a generic background has the potential to a...
International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrai...
International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrai...
International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrai...
International audienceBonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004...
International audienceBonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004...
International audienceBonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004...
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which ...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic dec...
The numerical evolution of Einstein's field equations in a generic background has the potential to a...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The numerical evolution of Einstein's field equations in a generic background has the potential to a...
International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrai...
International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrai...
International audienceWe propose a new formulation for 3+1 numerical relativity, based on a constrai...
International audienceBonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004...
International audienceBonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004...
International audienceBonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004...
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which ...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic dec...
The numerical evolution of Einstein's field equations in a generic background has the potential to a...
The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are...
The numerical evolution of Einstein's field equations in a generic background has the potential to a...