Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-09-10
Phys.Rev. D54 (1996) 4944-4954
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
25 pages including 3 tables, REVTeX, 1 postscript figure included; to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.54.4944
We present a formalism to obtain equilibrium configurations of uniformly rotating fluid in the second post-Newtonian approximation of general relativity. In our formalism, we need to solve 29 Poisson equations, but their source terms decrease rapidly enough at the external region of the matter(i.e., at worst $O(r^{-4})$). Hence these Poisson equations can be solved accurately as the boundary value problem using standard numerical methods.This formalism will be useful to obtain nonaxisymmetric uniformly rotating equilibrium configurations such as synchronized binary neutron stars just before merging and the Jacobi ellipsoid.
Asada Hideki
Shibata Masaru
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