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Nonradial oscillations of slowly and differentially rotating compact stars

Nonradial oscillations of slowly and differentially rotating compact stars
Nonradial oscillations of slowly and differentially rotating compact stars
The 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 quantities 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.
1550-7998
064019-[13pp]
Stavridis, Adamantinos
10c595a6-b156-4677-9bf7-8e615f63329a
Passamonti, Andrea
ca736053-559e-4c50-8a5c-92a0364d42c5
Kokkotas, Kostas
61f2621b-14cb-49f8-b57e-6d351d6c18c2
Stavridis, Adamantinos
10c595a6-b156-4677-9bf7-8e615f63329a
Passamonti, Andrea
ca736053-559e-4c50-8a5c-92a0364d42c5
Kokkotas, Kostas
61f2621b-14cb-49f8-b57e-6d351d6c18c2

Stavridis, Adamantinos, Passamonti, Andrea and Kokkotas, Kostas (2007) Nonradial oscillations of slowly and differentially rotating compact stars. Physical Review D, 75 (6), 064019-[13pp]. (doi:10.1103/PhysRevD.75.064019).

Record type: Article

Abstract

The 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 quantities 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.

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Submitted date: 22 January 2007
Published date: 16 March 2007

Identifiers

Local EPrints ID: 49110
URI: http://eprints.soton.ac.uk/id/eprint/49110
ISSN: 1550-7998
PURE UUID: 0a1d9a71-c10b-4b83-a014-462fc64fe0b9

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Date deposited: 23 Oct 2007
Last modified: 27 Jun 2022 17:03

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Contributors

Author: Adamantinos Stavridis
Author: Andrea Passamonti
Author: Kostas Kokkotas

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