The differential equations for slow rigid rotation are solved by o2scl::tov_solve if o2scl::tov_solve::ang_vel is set to true
.
In the case of slow rigid rotation with angular velocity , the moment of inertia is
where is the rotation rate of the inertial frame,
is the angular velocity in the fluid frame, and
is the angular velocity of a fluid element at infinity. The function
is the solution of
where the function is defined by
Note that . The boundary conditions for
are
at
and
One can use the TOV equation to rewrite the moment of inertia as
The star's angular momentum is just .
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