Ellipticity Behaviour of Relativistic Maclaurin Spheroids

Details Ellipticity Behaviour of Relativistic Maclaurin Spheroids Ellipticity Behaviour of Relativistic Maclaurin Spheroids

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.245..729a&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 245, NO.4/AUG15, P. 729, 1990

Astronomy and Astrophysics

Astronomy

37

Scientific paper

Chandrasekhar & Miller found that, according to the general theory of relativity, when slowly rotating spheroids contract, conserving angular momentum, their eccentricity does not increase monotonically, as is the case for Newtonian gravity, but instead reaches a maximum (when the mean radius is a few times the Schwarzschild radius) and then decreases again. We show here that this can be explained within the framework of the general discussion of rotational effects in a strong gravitational field given recently by Abramowicz & Prasanna. We suggest that it can be convenient to introduce a `corrected' Newtonian theory, incorporating terms to approximate strong field effects, and that such a corrected theory could be useful for numerical studies.

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