We propose a new method to study the quasinormal modes of rotating relativistic stars. Oscillations are treated as perturbations in the frequency domain of the stationary, axisymmetric background describing a rotating star. The perturbed quantities are expanded in circular harmonics, and the resulting 2D equations they satisfy are integrated using spectral methods in the (r,θ) plane. The asymptotic conditions at infinity, needed to find the mode frequencies, are implemented by generalizing the standing wave boundary condition commonly used in the nonrotating case. As a test, the method is applied to find the quasinormal mode frequencies of a slowly rotating star.

New approach to the study of quasi-normal modes of rotating stars

GUALTIERI, Leonardo;
2007

Abstract

We propose a new method to study the quasinormal modes of rotating relativistic stars. Oscillations are treated as perturbations in the frequency domain of the stationary, axisymmetric background describing a rotating star. The perturbed quantities are expanded in circular harmonics, and the resulting 2D equations they satisfy are integrated using spectral methods in the (r,θ) plane. The asymptotic conditions at infinity, needed to find the mode frequencies, are implemented by generalizing the standing wave boundary condition commonly used in the nonrotating case. As a test, the method is applied to find the quasinormal mode frequencies of a slowly rotating star.
Ferrari, Valeria; Gualtieri, Leonardo; Marassi, Stefania
File in questo prodotto:
File Dimensione Formato  
New approach.pdf

solo utenti autorizzati

Tipologia: Versione finale editoriale
Licenza: NON PUBBLICO - accesso privato/ristretto
Dimensione 681.58 kB
Formato Adobe PDF
681.58 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1148298
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 17
  • ???jsp.display-item.citation.isi??? 16
social impact