Relativistic dust disks and the Wilson-Mathews approach
arXiv:gr-qc/9812068 · doi:10.1103/PhysRevD.60.027501
Abstract
Treating problems in full general relativity is highly complex and frequently approximate methods are employed to simplify the solution. We present comparative solutions of a infinitesimally thin relativistic, stationary, rigidly rotating disk obtained using the full equations and the approximate approach suggested by Wilson & Mathews. We find that the Wilson-Mathews method has about the same accuracy as the first post-Newtonian approximation.
arXiv comment4 Pages, 5 eps-figures, uses revtex.sty. Submitted to PRL
References in corpus (5)
- Relativistic Numerical Method for Close Neutron Star Binaries
- General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
- General Relativistic Models of Binary Neutron Stars in Quasiequilibrium
- Testing a Simplified Version of Einstein's Equations for Numerical Relativity
- On relativistic discs and rings
Cited by in corpus (17)
- Initial Data for Numerical Relativity
- A new multi-dimensional general relativistic neutrino hydrodynamics code for core-collapse supernovae. I. Method and code tests in spherical symmetry
- Relativistic simulations of rotational core collapse. I. Methods, initial models, and code tests
- The bar-mode instability in differentially rotating neutron stars: Simulations in full general relativity
- Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue
- Towards asteroseismology of core-collapse supernovae with gravitational-wave observations - II. Spacetime perturbations
- Gravitational waves from relativistic rotational core collapse
- Numerical hydrodynamics in general relativity
- CFC+: Improved dynamics and gravitational waveforms from relativistic core collapse simulations
- Binary neutron stars: Equilibrium models beyond spatial conformal flatness
- Post Newtonian SPH
- Computation of gravitational waves from inspiraling binary neutron stars in quasiequilibrium circular orbits : Formulation and calibration
- Quasi-equilibrium models for triaxially deformed rotating compact stars
- A minimal no-radiation approximation to Einstein's field equations
- The Gravitational Wave Signature of Core-Collapse Supernovae
- On the accuracy of the IWM-CFC approximation in differentially rotating relativistic stars
- A Numerical Study of Boson Star Binaries