Abstract
Using the optical reference geometry approach, we have derived a general expression for the ellipticity of a slowly rotating fluid configuration using a Newtonian force balance equation in the conformally projected absolute 3-space, in the realm of general relativity. Further, with the help of the 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
