TY - JOUR
T1 - Formalism for the construction of binary neutron stars with arbitrary circulation
AU - Baumgarte, Thomas W.
AU - Shapiro, Stuart L.
PY - 2009/9/8
Y1 - 2009/9/8
N2 - 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 parametrized decomposition of the fluid flow that allows for a variation of the stellar circulation.
AB - 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 parametrized decomposition of the fluid flow that allows for a variation of the stellar circulation.
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U2 - 10.1103/PhysRevD.80.064009
DO - 10.1103/PhysRevD.80.064009
M3 - Article
AN - SCOPUS:70349876433
SN - 1550-7998
VL - 80
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 6
M1 - 064009
ER -