论文标题
流体黑洞不稳定性的数值研究
Numerical Study of Instability of Fluid Black Holes
论文作者
论文摘要
对于静态的完美流体，发现了近期中性和带电的黑洞溶液，其方程$ p（r）= - ρ（r）/3 $，仅用于流体以及在电场存在下的流体。在这些作品中，以分析方式研究了黑洞的稳定性，得出的结论是黑洞无条件不稳定。在这项工作中，我们特别关注不稳定性的{\ it数值研究。对于黑洞解决方案以及没有视野的静态解决方案，我们以数值求解扰动方程并找到不稳定的模式函数。
Recently neutral and charged black-hole solutions were found for static perfect fluid with the equation of state $p(r)=-ρ(r)/3$, for fluid only as well as for fluid in the presence of electric field. In those works, the stability of the black holes were studied in an analytic manner, which concluded that the black holes are unconditionally unstable. In this work, we focus particularly on the {\it numerical} study of the instability. For the black-hole solutions as well as the static solutions without horizons, we solve the perturbation equations numerically and find the unstable mode functions.
