Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-02-17
Phys.Rev.D75:084038,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 7 figures, ReVTeX 4.0, submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.75.084038
The post-bounce 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 wide-band resonant detectors.
Nagar Alessandro
Passamonti Andrea
Stergioulas Nikolaos
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