论文标题
4D爱因斯坦 - 加斯 - 邦纳特小说中的裸奇异性小说重力:回声和(in)稳定
Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
论文作者
论文摘要
我们研究了小说的四维爱因斯坦 - 加斯 - 鲍内特(EGB)重力中渐近,静态,球体对称裸的时空的稳定性。对于足够大的耦合参数值的四维EGB黑洞会导致如此赤裸裸的奇异性。通过测试标量,电磁场和狄拉克场对时空的稳定性和响应进行了研究,并观察到这些扰动的时间演变。在奇异性附近实现无效的迪利奇边界条件,我们观察到,对于L = 1模式,标量,电磁扰动和L = 0,1狄拉克扰动模式,时间域谱会产生不同的回声。但是,随着耦合常数的增加,4D-EGB裸奇异间时期的回声对齐和QNM结构变得突出。对于较高的多极数值,时空会变得不稳定,从而限制了耦合参数的参数空间。
We study the stability of an asymptotically flat, static, spherically symmetric naked singularity spacetime in the novel four dimensional Einstein-Gauss-Bonnet (EGB) gravity. The four dimensional EGB black hole for large enough values of the coupling parameter leads to such a naked singularity. The stability and the response of the spacetime is studied against the perturbations by test scalar, electromagnetic and Dirac fields and the time evolution of these perturbations were observed numerically. Implementing a null Dirichlet boundary condition near the singularity, we observed that for l=1 modes of scalar, electromagnetic perturbation and l=0,1 modes of Dirac perturbation the time-domain profile give rise to distinct echoes. However, as the coupling constant is increased, the echoes align and the QNM structure of the 4D-EGB naked singularity-spacetime becomes prominent. For higher values of the multipole number, the spacetime becomes unstable, thereby restricting the parameter space for the coupling parameter.