A formalism for the construction of binary neutron stars with arbitrary circulation

Details A formalism for the construction of binary neutron stars with arbitrary circulation A formalism for the construction of binary neutron stars with arbitrary circulation

2009-09-04

arxiv.org/abs/0909.0952v2

Phys.Rev.D80:064009,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures; published version with erratum

Scientific paper

10.1103/PhysRevD.80.064009

Most numerical models of binary stars - in particular neutron stars in compact binaries - assume the companions to be either corotational or irrotational. Either one of these assumptions leads to a significant simplification in the hydrodynamic equations of stationary equilibrium. In this paper we develop a new formalism for the construction of binary stars with circulation intermediate between corotational and irrotational. Generalizing the equations for irrotational flow we cast the Euler equation, which is an algebraic equation in the case of corotational or irrotational fluid flow, as an elliptic equation for a new auxiliary quantity. We also suggest a parameterized decomposition of the fluid flow that allows for a variation of the stellar circulation.

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