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Relations between three formalisms for irrotational binary neutron stars in general relativity

1998/04/22 by Eric Gourgoulhon, Éric Gourgoulhon, Gourgoulhon, Eric
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research #astro-ph #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9804054

5 pages, REVTeX, submitted as a brief report to Physical Review D

arxiv created 1998/04/22 · openalex publication_date 1998/04/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Various formalisms proposed recently for irrotational binary systems in general relativity are compared and explicit relations between them are exhibited. It is notably shown that the formalisms of (i) Teukolsky, (ii) Shibata and (iii) Bonazzola et al. (as corrected by Asada) are equivalent, i.e. yield exactly the same solution, although the former two are simpler than the latter one.

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