2007/06/30 by Andrea Passamonti, Adamantios Stavridis, A. Stavridis +2 · 2 citations
Physics and Astronomy · #Astrophysics and Star Formation Studies #Pulsars and Gravitational Waves Research #Stellar, planetary, and galactic studies #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.77.024029
published as Phys.Rev.D77:024029,2008 · 17 pages, 7 figures, 8 tables, version accepted for publication to Phys. Rev. D
arxiv created 2007/12/05 · openalex publication_date 2008/01/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nonaxisymmetric oscillations of differentially rotating stars are studied using both slow rotation and Cowling approximation. The equilibrium stellar models are relativistic polytropes where differential rotation is described by the relativistic j-constant rotation law. The oscillation spectrum is studied versus three main parameters: the stellar compactness M/R, the degree of differential rotation A, and the number of maximum couplings \ensuremathℓmax. It is shown that the rotational splitting of the nonaxisymmetric modes are strongly enhanced by increasing the compactness of the star and the degree of differential rotation. Finally, we investigate the relation between the fundamental quadrupole mode and the corotation band of differentially rotating stars.