The PostNewtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. I. The Maclaurin Spheroids and the Virial Theorem.
Abstract
The postNewtonian effects of general relativity on the equilibrium of uniformly rotating bodies are considered with the aid of a suitably generalized version of the classical tensor virial theorem. An exact relation exhibiting the relativistic effects is obtained; and it shows that, if the figure of equilibrium is approximated by a spheroid, the effect of general relativity is to attribute to the spheroid a larger angular velocity than the Newtonian value.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1965
 DOI:
 10.1086/148433
 Bibcode:
 1965ApJ...142.1513C