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Relativistic dust disks and the Wilson-Mathews approach

1998/12/18 by W. Kley, Willy Kley, Gerhard Schäfer +1 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #Pulsars and Gravitational Waves Research #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.60.027501

published as Phys.Rev.D60:027501,1999 · 4 Pages, 5 eps-figures, uses revtex.sty. Submitted to PRL

arxiv created 1998/12/18 · openalex publication_date 1999/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 an infinitesimally thin relativistic, stationary, rigidly rotating disk obtained using the full equations and the approximate approach suggested by Wilson and Mathews. We find that the Wilson-Mathews method has about the same accuracy as the first post-Newtonian approximation.

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