6533b855fe1ef96bd12b1ad5
RESEARCH PRODUCT
Comparison between the fCCZ4 and BSSN formulations of Einstein equations in spherical polar coordinates
José A. FontNicolas Sanchis-gualPedro J. MonteroEwald MüllerThomas W. Baumgartesubject
PhysicsHistoryLog-polar coordinatesSpherical coordinate systemAction-angle coordinatesSymmetry (physics)Computer Science ApplicationsEducationClassical mechanicsGeneralized coordinatesHamiltonian constraintEinstein field equationsCovariant transformationMathematical physicsdescription
Recently, we generalized a covariant and conformal version of the Z4 system of the Einstein equations using a reference metric approach, that we denote as fCCZ4. We successfully implemented and tested this approach in a 1D code that uses spherical coordinates and assumes spherical symmetry, obtaining from one to three orders of magnitude reduction of the Hamiltonian constraint violations with respect to the BSSN formulation in tests involving neutron star spacetimes. In this work, we show preliminary results obtained with the 3D implementation of the fCCZ4 formulation in a fully 3D code using spherical polar coordinates.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-28 | Journal of Physics: Conference Series |