Gravitational-Wave Extraction from Neutron Star Oscillations: comparing linear and nonlinear techniques

Abstract

The main aim of this study is the comparison of gravitational waveforms obtained from numerical simulations which employ different numerical evolution approaches and different wave-extraction techniques. For this purpose, we evolve an oscillating, non-rotating polytropic neutron-star model with two different approaches: a full nonlinear relativistic simulation (in three dimensions) and a linear simulation based on perturbation theory. The extraction of the gravitational-wave signal is performed with three methods: The gauge-invariant curvature-perturbation theory based on the Newman-Penrose scalar ${\psi }_4$; The gauge-invariant Regge-Wheeler-Zerilli-Moncrief metric-perturbation theory of a Schwarzschild space-time; Some generalization of the quadrupole emission formula.

27 pages, 18 figures. Published in Phys. Rev. D

References in corpus (13)

• 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
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Fully General Relativistic Simulations of Black Hole-Neutron Star Mergers
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• Accurate simulations of the dynamical bar-mode instability in full General Relativity
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Generic Gravitational Wave Signals from the Collapse of Rotating Stellar Cores
• Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
• How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?
• Gravitational waves from pulsations of neutron stars described by realistic Equations of State
• Dynamical excitation of space-time modes of compact objects
• Scalar functions for wave extraction in numerical relativity