论文标题

通过重力波发射对扩展重力模型的限制

Constraints on extended gravity models through gravitational wave emission

论文作者

Lambiase, Gaetano, Sakellariadou, Mairi, Stabile, Antonio

论文摘要

使用高级Ligo和晚期处女座从二进制黑洞信号中检测重力波的最新实验结果,我们研究了在第四阶重力在非微小耦合到大规模标量场的背景下的引力传播。重力辐射允许额外的振荡模式,我们假设这些模式的幅度与无质量模式相当。我们得出了每个自由度的传播方程和有效质量,我们从当前的观察数据中推断出对我们考虑的重力模型的自由参数的约束。特别是,对于$ f(r)= r-r^2/r_0 $,从重力波速度获得的约束与太阳系测试的集合不兼容,这意味着无法检测到地球上当前实验的巨大模式的幅度

Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity nonminimally coupled to a massive scalar field. Gravitational radiation admits extra massive modes of oscillation and we assume that the amplitude of these modes is comparable to that of the massless mode. We derive the propagation equation and effective mass for each degree of freedom and we infer, from the current observational data, constraints on the free parameters of the gravity models we considered. In particular, for $f(R)=R-R^2/R_0 $, the constraint obtained from the speed of gravitational waves is not compatible with the one set by Solar System tests, which implies that amplitude of the massive modes could not be detectable with current experiments on Earth

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