Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars

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dc.creatorPassamonti, Andrea
dc.creatorStergioulas, Nikolaos
dc.creatorNagar, Alessandro
dc.date2007-02-17
dc.date.accessioned2026-07-07T11:01:44Z
dc.date.available2026-07-07T11:01:44Z
dc.descriptionThe 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.
dc.description12 pages, 7 figures, ReVTeX 4.0, submitted to Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/gr-qc/0702099
dc.identifierhttp://arxiv.org/abs/gr-qc/0702099
dc.identifierPhys.Rev.D75:084038,2007
dc.identifierdoi:10.1103/PhysRevD.75.084038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188039
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleGravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
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