Nonradial oscillations of slowly and differentially rotating compact stars

dc.creatorStavridis, Adamantios
dc.creatorPassamonti, Andrea
dc.creatorKokkotas, Kostas
dc.date2007-01-22
dc.date.accessioned2026-07-07T11:01:37Z
dc.date.available2026-07-07T11:01:37Z
dc.descriptionThe equations describing nonradial adiabatic oscillations of differentially rotating relativistic stars are derived in relativistic slow rotation approximation. The differentially rotating configuration is described by a perturbative version of the relativistic j-constant rotation law. Focusing on the oscillation properties of the stellar fluid, the adiabatic nonradial perturbations are studied in the Cowling approximation with a system of five partial differential equations. In these equations, differential rotation introduces new coupling terms between the perturbative quantites with respect to the uniformly rotating stars. In particular, we investigate the axisymmetric and barotropic oscillations and compare their spectral properties with those obtained in nonlinear hydrodynamical studies. The perturbative description of the differentially rotating background and the oscillation spectrum agree within a few percent with those of the nonlinear studies.
dc.description18 pages, 5 figures, ReVTeX 4.0, submitted to Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/gr-qc/0701122
dc.identifierhttp://arxiv.org/abs/gr-qc/0701122
dc.identifierPhys.Rev.D75:064019,2007
dc.identifierdoi:10.1103/PhysRevD.75.064019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188004
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleNonradial oscillations of slowly and differentially rotating compact stars
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