English

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

General Relativity and Quantum Cosmology 2009-03-11 v3 Astrophysics

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 ψ4\psi_4; The gauge-invariant Regge-Wheeler-Zerilli-Moncrief metric-perturbation theory of a Schwarzschild space-time; Some generalization of the quadrupole emission formula.

Keywords

Cite

@article{arxiv.0808.4002,
  title  = {Gravitational-Wave Extraction from Neutron Star Oscillations: comparing linear and nonlinear techniques},
  author = {Luca Baiotti and Sebastiano Bernuzzi and Giovanni Corvino and Roberto De Pietri and Alessandro Nagar},
  journal= {arXiv preprint arXiv:0808.4002},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T11:14:53.631Z