## Analytic description of the r-mode instability in uniform density stars
^{1} Department of Physics, Aristotle University of
Thessaloniki, GR-54006 Thessaloniki, Greece (e-mail:
kokkotas@astro.auth.gr)^{2} Max-Planck-Institute for Gravitational Physics, The
Albert Einstein Institute, D-14473 Potsdam, Germany (e-mail: niksterg@aei-potsdam.mpg.de)
We present an analytic description of the
## Contents- 1. Introduction
- 2. The r-mode instability
- 3. The 2nd-order accurate slow rotation formalism
- 3.1. Assumptions
- 3.2. Definitions
- 3.3. The propensity rule
- 3.4. The perturbation equations
- 3.5. Boundary conditions
- 4. Eigenfunctions and eigenfrequencies
- 5. Dissipation time-scales
- 5.1. Energy of mode
- 5.2. Dissipation due to gravitational waves
- 5.2.1. Mass multipoles
- 5.2.2. Current multipoles
- 5.2.3. Growth-time
- 5.3. Dissipation due to shear viscosity
- 5.4. Dissipation due to bulk viscosity
- 6. Critical angular velocities
- 7. Discussion
- Acknowledgements
- References
© European Southern Observatory (ESO) 1999 Online publication: November 26, 1998 |