Nonlinear radial oscillations of neutron stars

Abstract

The effects of nonlinear oscillations in compact stars are attracting considerable current interest. In order to study such phenomena in the framework of fully nonlinear general relativity, highly accurate numerical studies are required. We present a numerical scheme specifically tailored for studies, based on formulating the time evolution in terms of deviations from a stationary equilibrium configuration. Using this technique, we investigate nonlinear effects associated with radial oscillations of neutron stars for a wide range of amplitudes. In particular, we discuss mode coupling due to nonlinear interactions, the occurrence of resonance phenomena, shock formation near the stellar surface as well as the capacity of nonlinearities to stabilize perturbatively unstable neutron star models.

15 pages, 10 figures, 9 tables; To match published version in Phys.Rev.D; discussion about interpretation of the expression "mode coupling" and one figure added

References in corpus (11)

• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Evolving black hole-neutron star binaries in general relativity using pseudospectral and finite difference methods
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Simulating binary neutron stars: dynamics and gravitational waves
• Second Order Quasi-Normal Mode of the Schwarzschild Black Hole
• Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
• A complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole
• High-order gauge-invariant perturbations of a spherical spacetime