中文摘要：

理论上，不稳定的中子星r-mode能辐射可探测的引力波。采用具有超软对称能的非对称核物质物态方程，并考虑非牛顿引力效应影响，数值计算了由于CFS（Chandrasekhar-Friedmann-Schutz）不稳定性引起的年轻热中子星的r-mode不稳定窗口，给出了引力辐射时标和耗散时标随温度的变化关系。利用中子星观测对非牛顿引力参数的约束，给出了热中子星在高温区不稳定窗口边界的约束，并发现较大的非牛顿引力参数对应着较宽的r-mode不稳定窗口。研究结果可为地面引力辐射探测提供有意义的参考。

英文摘要：

Theoritically, instable r-mode in neutron star may radiate detectable gravitational waves. In this work, considering the non-Newtonian gravity proposed in the grand unification theories, we numerically calculate the CFS instabilities of r-mode s in the hot neutron stars by using an equation of state with super-soft symmetry energies. The changes of the gravitational radiation time scales and the viscous time scales versus the stellar temperatures are obtained. And according to the constraint of the neutron star observation on the parameter of non-Newtonian gravity, the constraint on the boundary of the instability window is also given. It is found that a stronger non-Newtonian gravity corresponds with a wider r-mode instability window. These results may provide interesting reference for the gravitational wave detection.