标题： 圆轨道两体系统中引力辐射与质量变化的竞争效应 显示英文标题

标题： Competitive effects between gravitational radiation and mass variation for two-body systems in circular orbits

摘要： 本文在较低阶次上提供了双星系统发出引力波且经历质量变化时轨道分离、合并时间和轨道频率的一般解析解。根据质量导数指数的不同特性被详细研究。两个具有现象学意义的案例被明确考虑：i）由两个受霍金蒸发影响的轻量原初黑洞组成的双星系统；ii）由邦迪吸积幻影暗能量驱动的天体。结果显示存在三种不同的状态，其中包括系统复杂且非单调的行为。我们研究了可能与这些现象相关的微妙印记。最后，对不同假设的有效条件进行了仔细分析。 显示英文摘要

摘要： This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features, depending on the exponent of the mass derivative, are investigated in details. Two phenomenologically interesting cases are explicitly considered : i) binaries formed by two light primordial black holes submitted to Hawking evaporation and ii) bodies driven by a Bondi accretion of phantom dark energy. It is shown that three different regimes arise, including an intricate non-monotonic behaviour of the system. We study subtle imprints that could be associated with those phenomena. A careful analysis of the conditions of validity of the different hypotheses performed is finally carried out.