Rapidly Rotating and Fully General Relativistic Polytropes

Details Rapidly Rotating and Fully General Relativistic Polytropes Rapidly Rotating and Fully General Relativistic Polytropes

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pthph..64.2009e&link_type=abstract

Progress of Theoretical Physics, Vol. 64, No. 6, pp. 2009-2020

Physics

5

Scientific paper

A technique used in numerical computations of the Newtonian rotating polytropes has been generalized to compute general relativistic polytropes. Full equations for the rotating polytrope in general relativity have been numerically integrated without any approximation. The strength of relativity is measured μ ≡ pc/ ɛcc2 where pc, ɛc and c are the central pressure, the central energy density and the light velocity, respectively. Rotating sequences with μ=0.001 (almost Newtonian case), 0.25 (mildly relativistic case) and 0.5 (highly relativistic case) have been obtained for the polytropic index N=1.5. The largest rotation in each sequence is so rapid that the surface velocity at the equator reaches about one-third of the light velocity for μ=0.25 and 0.5 cases.

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