Physics
Scientific paper
Feb 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvd..65d4019f&link_type=abstract
Physical Review D, vol. 65, Issue 4, id. 044019
Physics
2
Relativistic Stars: Structure, Stability, And Oscillations, Stellar Rotation, Stellar Dynamics And Kinematics, Kinematics, Dynamics, And Rotation
Scientific paper
Using a functional method based on the introduction of a velocity potential to solve the Euler, continuity and Poisson equations, a new analytic study of the equilibrium of self-gravitating rotating systems with a polytropic equation of state has permitted the formulation of the conditions of integrability. For the polytropic index n=1 in the incompressible case (∇.v-->=0), we are able to find the conditions for solving the problem of the equilibrium of polytropic self-gravitating systems that rotate and have nonuniform vorticity. This work contains the conditions which give analytic and quasi-analytic solutions for the equilibrium of polytropic stars and galactic systems in Newtonian gravity. In special cases, explicit analytic solutions are presented.
Filippi Simonetta
Ruffini Remo
Sepulveda Alonso
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