Centrifugal Force and Ellipticity behaviour of a slowly rotating ultra compact object
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
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 , and the ellipticity maximum at around . The result has been compared with that of Chandrasekhar and Miller which was obtained in the full 4-spacetime formalism.
Cite
@article{arxiv.gr-qc/9603055,
title = {Centrifugal Force and Ellipticity behaviour of a slowly rotating ultra compact object},
author = {Anshu Gupta and Sai Iyer and A. R. Prasanna},
journal= {arXiv preprint arXiv:gr-qc/9603055},
year = {2009}
}