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Cited by 294

The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.

Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity: Method and tests

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Gourgoulhon, Eric, Grandclément, Philippe, Taniguchi, Keisuke, Marck, Jean-Alain, Bonazzola, Silvano·2001·Physical Review D
DOI 10.1103/physrevd.63.064029
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Abstract

We present a numerical method to compute quasiequilibrium configurations of close binary neutron stars in the precoalescing stage. A hydrodynamical treatment is performed under the assumption that the flow is either rigidly rotating or irrotational. The latter state is technically more complicated to treat than the former one (synchronized binary), but is expected to represent fairly well the late evolutionary stages of a binary neutron star system. As regards the gravitational field, an approximation of general relativity is used, which amounts to solving five of the ten Einstein equations (conformally flat spatial metric). The obtained system of partial differential equations is solved by means of a multidomain spectral method. Two spherical coordinate systems are introduced, one centered on each star; this results in a precise description of the stellar interiors. Thanks to the multidomain approach, this high precision is extended to the strong field regions. The computational domain covers the whole space so that exact boundary conditions are set to infinity. Extensive tests of the numerical code are performed, including comparisons with recent analytical solutions. Finally a constant baryon number sequence (evolutionary sequence) is presented in detail for a polytropic equation of state with $\ensuremath{\gamma}=2.$

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Metadata

Authors
Gourgoulhon, E., Grandclément, P., Taniguchi, K., Marck, J.-A., & Bonazzola, S.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2001-02-23
Volume
63
Issue
6
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.63.064029
OpenAlex
W2115680322
Cited by
294
References
26
FWCI
6.52
Type
journal article
Language
en
Open access
green

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