时变质量双星系统的引力辐射
Gravitational radiation from binary systems with time varying masses
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中文总结 AI 辅助
该研究针对时变质量双星系统，利用含时变质量的广义四极形式体系，结合软件GRAV-T分析引力辐射特性，还探讨了其对磁星并合的影响，结果有助于理解相关广义相对论效应。
中文摘要 AI 辅助
我们研究了双星系统中时变质量大质量恒星所发射引力辐射的性质，这些恒星在引力作用下以开普勒轨道相互绕转。当该效应与引力辐射的四极表达式结合时，描述辐射效应的标准公式中会出现一些附加项。通过使用含时变质量的广义四极形式体系，我们得到了描述双星系统角动量、半长轴、偏心率及近星点位移时间变化的表达式。作为所发展形式体系的简单应用，我们详细考虑了质量变化的两种情形，分别假设其具有线性和指数时间依赖关系。借助专门为研究时变质量系统引力辐射而开发的专用软件包GRAV-T，我们对这些模型对应的引力辐射特性进行了全面的数值研究。我们还详细研究了引力波发射对两颗因中微子加热风而损失质量的磁星并合的影响。所得结果对于理解引力质量随时间变化情形下的广义相对论效应具有重要意义，该效应会显著影响引力辐射发射的性质。
英文摘要
We consider the properties of the gravitational radiation emitted by massive stars in binary systems with time varying mass, orbiting around each other in Keplerian orbits under the influence of the gravitational force. When this effect is combined to the quadrupole expression of the gravitational radiation, some supplementary terms in the standard formulae describing radiative effects do appear. By using the generalized quadrupole formalism, with time dependent masses, we obtain the expressions describing the time variation of the angular momentum, semimajor axis, eccentricity and periastron shift of the binary system. As a simple application of the developed formalism we consider in detail two cases of the mass variation, by assuming a linear and an exponential time dependence, respectively. The gravitational radiation characteristics corresponding to these models are fully investigated numerically with the help of a dedicated software package \href{https://github.com/croi900/GRAV-T}{GRAV-T}, specifically developed for the study of the gravitational radiation of the mass varying systems. The impact of the gravitational wave emission on the merger of two magnetars losing mass due to neutrino heated winds is also investigated in detail. The obtained results could be important for the understanding of general relativistic effects in the case of the variation of the gravitational mass with time, which sensitively influences the properties of the gravitational radiation emission.
