General-relativistic implicit hydrodynamics in polar-sliced space-time

Paul J. Schinder*, Sidney A. Bludman, Tsvi Piran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We derive the equations of general-relativistic spherical hydrodynamics in a Lagrangian gauge subject to the condition of polar slicing of space-time, which gives both maximum coverage of material zones and stronger singularity avoidance than either synchronous (May and White) or maximally sliced coordinates. We present a fully relativistic, polar-sliced implicit computer code (gripos) for Lagrangian spherical hydrodynamics, and present the results of computations of two test problems: the approach to hydrostatic equilibrium of a near-equilibrium, initial configuration and the collapse of pressureless dust. We compare our results to the known solutions of these two tests. We also follow the collapse to a black hole of an equilibrium configuration after pressure reduction.

Original languageEnglish
Pages (from-to)2722-2731
Number of pages10
JournalPhysical Review D
Volume37
Issue number10
DOIs
StatePublished - 1988

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