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Coupling of radial and axial non-radial oscillations of compact stars: gravitational waves from first-order differential rotation

Coupling of radial and axial non-radial oscillations of compact stars: gravitational waves from first-order differential rotation
Coupling of radial and axial non-radial oscillations of compact stars: gravitational waves from first-order differential rotation
We investigate the nonlinear coupling between radial and nonradial oscillations of static spherically-symmetric neutron stars as a possible mechanism for the generation of gravitational waves that may lead to observable signatures. In this paper we concentrate on the axial sector of the nonradial perturbations. By using a multiparameter perturbative framework we introduce a complete description of the nonlinear coupling between radial and axial nonradial oscillations; we study the gauge-invariant character of the associated perturbative variables and develop a computational scheme to evolve the nonlinear coupling perturbations in the time domain. We present results of simulations corresponding to different physical situations and discuss the dynamical behavior of this nonlinear coupling. Of particular interest is the occurrence of signal amplifications in the form of resonance phenomena when a frequency associated with the radial pulsations is close to a frequency associated with one of the axial w-modes of the star. Finally, we mention possible extensions of this work and improvements towards more astrophysically motivated scenarios.
1550-7998
084010-[23pp]
Passamonti, Andrea
ca736053-559e-4c50-8a5c-92a0364d42c5
Bruni, Marco
71eed864-bbb5-414c-8cd6-19fab1354720
Gualtieri, Leonardo
a0183007-8cfc-4cdd-a392-3492ec6b7c22
Nagar, Alessandro
b99fda47-3f2c-4194-b128-fd301513b191
Sopuerta, Carlos F.
657e6f83-fe63-429c-9951-9257ae070a46
Passamonti, Andrea
ca736053-559e-4c50-8a5c-92a0364d42c5
Bruni, Marco
71eed864-bbb5-414c-8cd6-19fab1354720
Gualtieri, Leonardo
a0183007-8cfc-4cdd-a392-3492ec6b7c22
Nagar, Alessandro
b99fda47-3f2c-4194-b128-fd301513b191
Sopuerta, Carlos F.
657e6f83-fe63-429c-9951-9257ae070a46

Passamonti, Andrea, Bruni, Marco, Gualtieri, Leonardo, Nagar, Alessandro and Sopuerta, Carlos F. (2006) Coupling of radial and axial non-radial oscillations of compact stars: gravitational waves from first-order differential rotation. Physical Review D, 73 (8), 084010-[23pp]. (doi:10.1103/PhysRevD.73.084010).

Record type: Article

Abstract

We investigate the nonlinear coupling between radial and nonradial oscillations of static spherically-symmetric neutron stars as a possible mechanism for the generation of gravitational waves that may lead to observable signatures. In this paper we concentrate on the axial sector of the nonradial perturbations. By using a multiparameter perturbative framework we introduce a complete description of the nonlinear coupling between radial and axial nonradial oscillations; we study the gauge-invariant character of the associated perturbative variables and develop a computational scheme to evolve the nonlinear coupling perturbations in the time domain. We present results of simulations corresponding to different physical situations and discuss the dynamical behavior of this nonlinear coupling. Of particular interest is the occurrence of signal amplifications in the form of resonance phenomena when a frequency associated with the radial pulsations is close to a frequency associated with one of the axial w-modes of the star. Finally, we mention possible extensions of this work and improvements towards more astrophysically motivated scenarios.

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Submitted date: 31 December 2005
Published date: 12 April 2006

Identifiers

Local EPrints ID: 49112
URI: http://eprints.soton.ac.uk/id/eprint/49112
ISSN: 1550-7998
PURE UUID: 92af9126-145e-485c-8f4b-7d5b7423548f

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

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Contributors

Author: Andrea Passamonti
Author: Marco Bruni
Author: Leonardo Gualtieri
Author: Alessandro Nagar
Author: Carlos F. Sopuerta

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