The Equilibrium Structure of Rapidly Rotating Gaseous Polytropes and Completely Degenerate Systems
Abstract
The equilibrium structures of axially symmetric, uniformly rotating gaseous masses in the polytropic and whitedwarf cases are determined. We have studied the effects of rotation to the second order in w2 (i.e., up to w4) by Chandrasekhar's seriesexpansion method, where w is the angular velocity of rota tion. We have obtained the mass, volume relation between central and mean densities, central pressure, and central temperature for rotating polytropes. We have also obtained ~3 (ratio of gas pressure to total pressure due to gas and radiation) for distorted polytropes. Similar structural parameters are also ob tained in the case of a rotating white dwarf. Further, it is found that rotation increases Chandrasekhar's limiting mass for nonrotating white dwarfs by 3 per cent at the maximum angular velocity consistent with equilibrium. The numerical values of various functions and structural parameters for rotating poiy tropes are given in tabular form at the end of the paper
 Publication:

The Astrophysical Journal
 Pub Date:
 July 1968
 DOI:
 10.1086/149643
 Bibcode:
 1968ApJ...153..135A