Investigating tidal heating in neutron stars via gravitational Raman scattering

IF 5 2区 物理与天体物理 Q1 Physics and Astronomy
M. V. S. Saketh, Zihan Zhou, Suprovo Ghosh, Jan Steinhoff, Debarati Chatterjee
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引用次数: 0

Abstract

We present a scattering amplitude formalism to study the tidal heating effects of nonspinning neutron stars incorporating both worldline effective field theory and relativistic stellar perturbation theory. In neutron stars, tidal heating arises from fluid viscosity due to various scattering processes in the interior. It also serves as a channel for the exchange of energy and angular momentum between the neutron star and its environment. In the interior of the neutron star, we first derive two master perturbation equations that capture fluid perturbations accurate to linear order in frequency. Remarkably, these equations receive no contribution from bulk viscosity due to a peculiar adiabatic incompressibility which arises in stellar fluid for nonbarotropic perturbations. In the exterior, the metric perturbations reduce to the Regge-Wheeler equation which we solve using the analytical Mano-Suzuki-Takasugi method. We compute the amplitude for gravitational waves scattering off a neutron star, also known as gravitational Raman scattering. From the amplitude, we obtain expressions for the electric quadrupolar static Love number and the leading dissipation number to all orders in compactness. We then compute the leading dissipation number for various realistic equations of state and estimate the change in the number of gravitational-wave cycles due to tidal heating during inspiral in the LIGO-Virgo-KAGRA band.
通过引力拉曼散射研究中子星的潮汐加热
我们提出了一种散射振幅形式主义,结合世界线有效场理论和相对论性恒星扰动理论来研究非自转中子星的潮汐加热效应。在中子星中,潮汐加热产生于内部各种散射过程导致的流体粘性。它也是中子星与其环境之间交换能量和角动量的通道。在中子星内部,我们首先推导出两个主扰动方程,它们捕捉到的流体扰动精确到频率的线性阶。值得注意的是,由于恒星流体在非各向同性扰动下具有奇特的绝热不可压缩性,这些方程不会受到体积粘度的影响。在外部,度量扰动简化为雷格-韦勒方程,我们用分析万野-铃木-高杉方法求解了该方程。我们计算了中子星引力波散射的振幅,也称为引力拉曼散射。根据振幅,我们得到了电四极静态洛夫数的表达式,以及紧凑性中所有阶的前导耗散数。然后,我们计算了各种现实状态方程的前导耗散数,并估算了 LIGO-Virgo-KAGRA 波段吸气期间潮汐加热导致的引力波周期数变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
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