Generalized r-Modes of the Maclaurin Spheroids

Details Generalized r-Modes of the Maclaurin Spheroids Generalized r-Modes of the Maclaurin Spheroids

1998-07-18

arxiv.org/abs/gr-qc/9807049v2

Phys.Rev. D59 (1999) 044009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 3 figures; minor changes and additions as will appear in the version to be published in Physical Review D, January 1

Scientific paper

10.1103/PhysRevD.59.044009

Analytical solutions are presented for a class of generalized r-modes of rigidly rotating uniform density stars---the Maclaurin spheroids---with arbitrary values of the angular velocity. Our analysis is based on the work of Bryan; however, we derive the solutions using slightly different coordinates that give purely real representations of the r-modes. The class of generalized r-modes is much larger than the previously studied `classical' r-modes. In particular, for each l and m we find l-m (or l-1 for the m=0 case) distinct r-modes. Many of these previously unstudied r-modes (about 30% of those examined) are subject to a secular instability driven by gravitational radiation. The eigenfunctions of the `classical' r-modes, the l=m+1 case here, are found to have particularly simple analytical representations. These r-modes provide an interesting mathematical example of solutions to a hyperbolic eigenvalue problem.

Affiliated with

Also associated with

No associations

Rating

Generalized r-Modes of the Maclaurin Spheroids 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 Generalized r-Modes of the Maclaurin Spheroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized r-Modes of the Maclaurin Spheroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648868