A formalism for the construction of binary neutron stars with arbitrary circulation
arXiv:0909.0952 · doi:10.1103/PhysRevD.80.064009
Abstract
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.
8 pages, no figures; published version with erratum
References in corpus (15)
- Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity. I. Method and tests
- Numerical Relativity and Compact Binaries
- Numerical models of irrotational binary neutron stars in general relativity
- General Relativistic Models of Binary Neutron Stars in Quasiequilibrium
- A relativistic formalism to compute quasi-equilibrium configurations of non-synchronized neutron star binaries
- Binary Neutron Stars in General Relativity: Quasi-Equilibrium Models
- Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity. III. Identical and different mass stars with gamma=2
- Irrotational Binary Neutron Stars in Quasiequilibrium in General Relativity
- A relativistic formalism for computation of irrotational binary stars in quasi equilibrium states
- Relativistic black hole-neutron star binaries in quasiequilibrium: effects of the black hole excision boundary condition
- Black hole-neutron star binaries in general relativity: effects of neutron star spin
- Black Hole-Neutron Star Binaries in General Relativity: Quasiequilibrium Formulation
- Formulation for the internal motion of quasi-equilibrium configurations in general relativity
- Newtonian models for black hole-gaseous star close binary systems
- Relativistic Models for Binary Neutron Stars with Arbitrary Spins
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- Binary Neutron Star Mergers
- Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
- Mergers of binary neutron stars with realistic spin
- On the black hole from merging binary neutron stars: how fast can it spin?
- Constructing quasi-equilibrium initial data for binary neutron stars with arbitrary spins
- Initial data for binary neutron stars with arbitrary spins
- Binary Neutron Stars with Arbitrary Spins in Numerical Relativity
- Initial data for neutron star binaries with arbitrary spins
- Binary Neutron Stars in Quasi-equilibrium
- Constant circulation sequences of binary neutron stars and their spin characterization
- Initial data for black hole-neutron star binaries, with rotating stars
- Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars