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Gravitational waves from nonlinear couplings of radial and polar nonradial modes in relativistic stars

Gravitational waves from nonlinear couplings of radial and polar nonradial modes in relativistic stars
Gravitational waves from nonlinear couplings of radial and polar nonradial modes in relativistic stars
The postbounce oscillations of newly-born relativistic stars are expected to lead to gravitational-wave emission through the excitation of nonradial oscillation modes. At the same time, the star is oscillating in its radial modes, with a central density variation that can reach several percent. Nonlinear couplings between radial oscillations and polar nonradial modes lead to the appearance of combination frequencies (sums and differences of the linear mode frequencies). We study such combination frequencies using a gauge-invariant perturbative formalism, which includes bilinear coupling terms between different oscillation modes. For typical values of the energy stored in each mode we find that gravitational waves emitted at combination frequencies could become detectable in galactic core-collapse supernovae with advanced interferometric or wideband resonant detectors.
1550-7998
084038-[11pp]
Passamonti, Andrea
ca736053-559e-4c50-8a5c-92a0364d42c5
Stergioulas, Nikolaos
7ff499f3-91e1-497f-bee6-4d8b5ca581da
Nagar, Alessandro
b99fda47-3f2c-4194-b128-fd301513b191
Passamonti, Andrea
ca736053-559e-4c50-8a5c-92a0364d42c5
Stergioulas, Nikolaos
7ff499f3-91e1-497f-bee6-4d8b5ca581da
Nagar, Alessandro
b99fda47-3f2c-4194-b128-fd301513b191

Passamonti, Andrea, Stergioulas, Nikolaos and Nagar, Alessandro (2007) Gravitational waves from nonlinear couplings of radial and polar nonradial modes in relativistic stars. Physical Review D, 75 (8), 084038-[11pp]. (doi:10.1103/PhysRevD.75.084038).

Record type: Article

Abstract

The postbounce oscillations of newly-born relativistic stars are expected to lead to gravitational-wave emission through the excitation of nonradial oscillation modes. At the same time, the star is oscillating in its radial modes, with a central density variation that can reach several percent. Nonlinear couplings between radial oscillations and polar nonradial modes lead to the appearance of combination frequencies (sums and differences of the linear mode frequencies). We study such combination frequencies using a gauge-invariant perturbative formalism, which includes bilinear coupling terms between different oscillation modes. For typical values of the energy stored in each mode we find that gravitational waves emitted at combination frequencies could become detectable in galactic core-collapse supernovae with advanced interferometric or wideband resonant detectors.

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More information

Submitted date: 17 February 2007
Published date: 26 April 2007

Identifiers

Local EPrints ID: 49106
URI: http://eprints.soton.ac.uk/id/eprint/49106
ISSN: 1550-7998
PURE UUID: 8a48751b-76f0-4511-953f-3259f3e2d58c

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Date deposited: 23 Oct 2007
Last modified: 15 Mar 2024 09:53

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Contributors

Author: Andrea Passamonti
Author: Nikolaos Stergioulas
Author: Alessandro Nagar

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