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arXiv 0808.4002gr-qcastro-ph
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从中子星振荡中提取引力波:线性和非线性技术的比较

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

Luca Baiotti, Sebastiano Bernuzzi, Giovanni Corvino, Roberto De Pietri, Alessandro Nagar

摘要:

本研究的主要目的是比较重力波形的数值模拟,采用不同的数值演化方法和不同的波提取技术。为此,我们发展了一个振荡,非旋转多方中子星模型与两种不同的方法:一个完整的非线性相对论模拟(在三维)和线性模拟微扰理论的基础上。引力波信号的提取有三种方法:基于Newman-Penrose标量$ψ_4$的规范不变曲率微扰理论; Schwarzschild时空的规范不变Regge-Wheeler-Zerilli-Moncrief度量微扰理论;四极发射公式的一些推广。

英文摘要:

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 $ψ_4$; The gauge-invariant Regge-Wheeler-Zerilli-Moncrief metric-perturbation theory of a Schwarzschild space-time; Some generalization of the quadrupole emission formula.

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