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arXiv 1807.04060gr-qcastro-ph.COastro-ph.HEhep-ph
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GW170817对$f(R)$引力理论的限制

Constraints on $f(R)$ theories of gravity from GW170817

Soumya Jana, Subhendra Mohanty

摘要:

利用中子星合并事件GW 170817产生的引力波信号,得到了对引力$f(R)$理论的一个新的约束。$f(R)$理论除了无质量自旋2模式外,还具有一个额外的质量标量自由度。相应的标量场贡献了一个额外的吸引力,短程的“第五”力影响引力波辐射过程。我们认识到,变色龙筛选是必要的,以符合观察。得到了一个与模型无关的界$\vert f'(R_0) -1\vert < 3\times 10^{-3}$,其中素数表示关于$R$的导数,$R_0$是我们宇宙目前的曲率.虽然我们使用非相对论近似,并获得了一个数量级的估计的界限,它来自直接观测的引力波,因此值得注意。这个界限比一些早期的其他界限更强/等价,例如来自太阳系中的卡西尼任务,超新星的辐射,观测到的CMB光谱,星系团密度分布等,尽管它比来自宇宙学的最佳电流约束($\vert f'(R_0) -1\vert \lesssim 10^{-6}$)弱。利用得到的界,我们也约束参数空间的$f(R)$理论的暗能量一样胡-Sawicki,Starobinsky,和Tsujikawa模型。

英文摘要:

A novel constraint on $f(R)$ theories of gravity is obtained from the gravitational wave signal emitted from the binary neutron star merger event GW170817. The $f(R)$ theories possess an additional massive scalar degree of freedom apart from the massless spin-2 modes. The corresponding scalar field contributes an additional attractive, short-ranged "fifth" force affecting the gravitational wave radiation process. We realize that chameleon screening is necessary to conform with the observation. A model independent bound $\vert f'(R_0) -1\vert < 3\times 10^{-3}$ has been obtained, where the prime denotes the derivative with respect $R$ and $R_0$ is the curvature of our Universe at present. Though we use the nonrelativistic approximations and obtain an order of magnitude estimate of the bound, it comes from direct observations of gravitational waves and thus it is worth noting. This bound is stronger/equivalent compared to some earlier other bounds such as from the Cassini mission in the Solar-System, Supernova monopole radiation, the observed CMB spectrum, galaxy cluster density profile, etc., although it is weaker than best current constraints ($\vert f'(R_0) -1\vert \lesssim 10^{-6}$) from cosmology. Using the bound obtained, we also constrain the parameter space in the $f(R)$ theories of dark energy like Hu-Sawicki, Starobinsky, and Tsujikawa models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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