Centrifugal Force and Ellipticity behaviour of a slowly rotating ultra compact object

Details Centrifugal Force and Ellipticity behaviour of a slowly rotating ultra compact object Centrifugal Force and Ellipticity behaviour of a slowly rotating ultra compact object

1996-03-28

arxiv.org/abs/gr-qc/9603055v1

Class.Quant.Grav. 13 (1996) 2675-2682

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/13/10/007

Using the optical reference geometry approach, we have derived in the following, a general expression for the ellipticity of a slowly rotating fluid configuration using Newtonian force balance equation in the conformally projected absolute 3-space, in the realm of general relativity. Further with the help of Hartle-Thorne (H-T) metric for a slowly rotating compact object, we have evaluated the centrifugal force acting on a fluid element and also evaluated the ellipticity and found that the centrifugal reversal occurs at around $R/R_s \approx 1.45$, and the ellipticity maximum at around $R/R_s \approx 2.75$. The result has been compared with that of Chandrasekhar and Miller which was obtained in the full 4-spacetime formalism.

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