Centrifugal Force and Ellipticity behaviour of a slowly rotating ultra compact object
نویسندگان
چکیده
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/Rs ≈ 1.45, and the ellipticity maximum at around R/Rs ≈ 2.75. The result has been compared with that of Chandrasekhar and Miller which was obtained in the full 4-spacetime formalism.
منابع مشابه
Behaviour of the Centrifugal Force and of Ellipticity for a Slowly Rotating Fluid Configuration with Different Equations of State
We have evaluated the centrifugal force acting on a fluid element and the ellipticity of the fluid configuration, which is slowly rotating, using the Hartle-Thorne solution for different equations of state. The centrifugal force shows a maximum in every case, whereas the reversal in sign could be seen in only one case, and the system becomes unstable in other cases. The ellipticity as calculate...
متن کاملCentrifugal force in Kerr geometry
We have obtained the correct expression for the centrifugal force acting on a particle at the equatorial circumference of a rotating body in the locally non-rotating frame of the Kerr geometry. Using this expression for the equilibrium of an element on the surface of a slowly rotating Maclaurin spheroid, we obtain the expression for the ellipticity (as discussed earlier by Abramowicz and Miller...
متن کاملEffect of Coriolis Force on Accretion Flows around Rotating Compact Object
Using the generalised set of fluid equations that include the ‘Coriolis force’ along with the centrifugal and pressure gradient forces, we have reanalysed the class of self similar solutions, with the pseudo-Newtonian potential. We find that the class of solutions is well behaved for almost the entire parameter space except for a few selected combinations of γ and α for the co-rotating flow. Th...
متن کاملar X iv : a st ro - p h / 01 07 11 9 v 2 2 7 N ov 2 00 1 Advection Dominated Accretion Flows around a Rotating Compact Object
Using the generalised set of fluid equations that include the ‘Coriolis force’ along with the centrifugal and pressure gradient forces, we have reanalysed the class of self similar solutions, with the pseudo-Newtonian potential. We find that the class of solutions is well behaved for almost the entire parameter space except for a few selected combinations of γ and α for the co-rotating flow. Th...
متن کاملAdvection Dominated Accretion Flows around a Rotating Compact Object
Using the generalised set of fluid equations that include the ‘Coriolis force’ along with the centrifugal and pressure gradient forces, we have reanalysed the class of self similar solutions, with the pseudo-Newtonian potential. We find that the class of solutions is well behaved for almost the entire parameter space except for a few selected combinations of γ and α for the co-rotating flow. Th...
متن کامل