Jacobi-like bar mode instability of relativistic rotating bodies

Details Jacobi-like bar mode instability of relativistic rotating bodies Jacobi-like bar mode instability of relativistic rotating bodies

2002-05-23

arxiv.org/abs/gr-qc/0205102v1

Phys.Rev. D66 (2002) 044021

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 8 figures, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.044021

We perform some numerical study of the secular triaxial instability of rigidly rotating homogeneous fluid bodies in general relativity. In the Newtonian limit, this instability arises at the bifurcation point between the Maclaurin and Jacobi sequences. It can be driven in astrophysical systems by viscous dissipation. We locate the onset of instability along several constant baryon mass sequences of uniformly rotating axisymmetric bodies for compaction parameter $M/R = 0-0.275$. We find that general relativity weakens the Jacobi like bar mode instability, but the stabilizing effect is not very strong. According to our analysis the critical value of the ratio of the kinetic energy to the absolute value of the gravitational potential energy $(T/|W|)_{\rm crit}$ for compaction parameter as high as 0.275 is only 30% higher than the Newtonian value. The critical value of the eccentricity depends very weakly on the degree of relativity and for $M/R=0.275$ is only 2% larger than the Newtonian value at the onset for the secular bar mode instability. We compare our numerical results with recent analytical investigations based on the post-Newtonian expansion.

Affiliated with

Also associated with

No associations

Rating

Jacobi-like bar mode instability of relativistic rotating bodies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Jacobi-like bar mode instability of relativistic rotating bodies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jacobi-like bar mode instability of relativistic rotating bodies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454318