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arXiv 2609.21119gr-qcastro-ph.HE

致密体质量壳模型中的非保守力学及其波形结构

Non-Conservative Mechanics in the Compact-Body Mass-Shell Model and its Waveform Structuring

Noah M. MacKay

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中文总结 AI 辅助

本文在致密体双星并合的质量壳模型中引入非保守力学,推导出可用的解析引力波波形,为后续计算及与先进模型比较奠定基础。

中文摘要 AI 辅助

先前曾考虑对致密体双星(CBB)并合的等效单体(EOB)映射进行一种新的重新诠释。与传统的“漏斗中的弹珠”式EOB描述不同,CBB并合被建模为一个具有恒定约化质量度量的空心壳的同时旋转与收缩。因此,当壳半径达到总质量半径时,并合即实现。虽然以往的工作分析了该模型的能量学部分及辐射引力波(GWs),本工作则考虑几何波形建模方面。更具体地,我们通过在玩具模型条件下最初讨论的质量壳波形分析中引入必要的非保守力学,使其成熟化,从而得出可用的质量壳模型引力波形式的解析表达式。这旨在为最终利用本文呈现的解析波形进行计算工作奠定基础,使其能够与当前及最先进的模型进行比较。

英文摘要

A novel reinterpretation on the effective one-body (EOB) mapping of compact-body binary (CBB) coalescence was previously considered. Instead of the conventional ``marble in a funnel" description of EOB, CBB coalescence is modeled as the concurrent rotation and contraction of a hollow shell with a constant reduced mass measure. Merger is achieved, therefore, when the shell radius reaches the total mass radius. While past works analyzed the energetics sector of the model and the radiated gravitational waves (GWs), this work considers the geometric waveform modeling aspect. More specifically, we mature the mass-shell waveform analysis initially discussed with toy-model conditions by imposing necessary non-conservative mechanics, leading to the analytical expression of usable mass-shell modeled GW-forms. This is to set the foundation for eventual computational endeavors with the analytical waveforms presented here, enabling a comparison against current and state-of-the-art models.

发表机构

  • Universität Potsdam(波茨坦大学)

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