Abstract
view Abstract Citations (56) References (11) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Rapidly rotating fluid bodies in general relativity. Butterworth, E. M. ; Ipser, J. R. Abstract A self-consistent-field method is developed for numerically constructing rapidly rotating fluid bodies in general relativity. Results which emerge from using it to build uniformly rotating homogeneous bodies are discussed. The results reveal that, in contrast to the Newtonian sequence of Maclaurin spheroids, the relativistic sequences in most, and probably all, cases terminate at eccentricities less than 1, where the centrifugal and gravitational accelerations at the equator become equal. The results also suggest that a highly relativistic rotating body, due to certain effects, might evolve toward a nearly spherical configuration as it contracts. Publication: The Astrophysical Journal Pub Date: September 1975 DOI: 10.1086/181907 Bibcode: 1975ApJ...200L.103B Keywords: Gravitational Effects; Relativistic Velocity; Rotating Fluids; Rotating Spheres; Acceleration (Physics); Centrifugal Force; Eccentricity; Astrophysics full text sources ADS |
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