The Post-Quasistatic Approximation as a test bed for Numerical Relativity

Abstract

It is shown that observers in the standard ADM 3+1 treatment of matter are the same as the observers used in the matter treatment of Bondi: they are comoving and local Minkowskian. Bondi's observers are the basis of the post--quasitatic approximation (PQSA) to study a contracting distribution of matter. This correspondence suggests the possibility of using the PQSA as a test bed for Numerical Relativity. The treatment of matter by the PQSA and its connection with the ADM 3+1 treatment are presented, for its practical use as a calibration tool and as a test bed for numerical relativistic hydrodynamic codes.

4 pages; to appear as a Brief Report in Physical Review D

References in corpus (3)

• Relativistic gravitational collapse in non-comoving coordinates: The post-quasistatic approximation
• Scalar field induced oscillations of neutron stars and gravitational collapse
• A framework for large-scale relativistic simulations in the characteristic approach

Cited by in corpus (8)

• Relativistic gravitational collapse in comoving coordinates: The post-quasistatic approximation
• Central equation of state in spherical characteristic evolutions
• Nonadiabatic charged spherical evolution in the postquasistatic approximation
• Bondian frames to couple matter with radiation
• Shear Viscosity in the Post-quasistatic Approximation
• On the equivalence of nonadiabatic fluids
• An evolution of adiabatic matter: A case for the quasistatic regime
• Heat flow in the postquasistatic approximation