1999/09/08 by Keith H. Lockitch, Lockitch, Keith H.
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #Stellar, planetary, and galactic studies #astro-ph #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9909029
157 pages, 32 ps figures/tables. Ph.D. thesis, University of Wisconsin - Milwaukee
arxiv created 1999/09/08 · openalex publication_date 1999/09/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Despite the recent excitement over the r-mode instability of rotating stars, these modes are not yet well-understood for stellar models appropriate to neutron stars - perfect fluid models in which both the equilibrium and perturbed configurations obey the same one-parameter equation of state. In spherical stars of this kind, r-modes and g-modes form a degenerate zero-frequency subspace. Rotation splits the degeneracy to zeroth order in the star's angular velocity Ω, and the resulting modes are generically hybrids, whose limit as Ω→ 0 is a stationary current with axial and polar parts. Lindblom and Ipser have recently found these hybrid rotational modes in an analytic study of the Maclaurin spheroids. This dissertation studies them in Newtonian stars (both uniform density models and n=1 polytropes) and reports a first computation of the hybrid rotational modes of relativistic stars.