膜模型中黑洞的Dirac似正规模

摘要

We study the massless Dirac perturbations of the fourdimensional Reissner-Nordstr(ǒ)m-like black holes with a tidal charge in the Randall-Sundrum braneworld in the first approximation when the tidal perturbations are not taken into account.It has been shown that the ability of the perturbative potentials to reflect the waves decreases with increasing value of the tidal charge, and then the position of peak moves forward to the right side along x-axis.By the third-order WKB approximation method, the low frequency numerical results of evolution of perturbation are carefully analyzed.Moreover, calculations have shown that black holes on the Randall-Sundrum braneworld are stable against the dynamical evolution of the massless Dirac perturbation.%讨论了Randall-Sundrum双膜模型中Reissner-Nordstrom-like黑洞的无质量Dirac场扰动.随着参数Q*的增加,扰动场势函数的势垒峰值逐渐减小,而峰值所在的位置则沿着x轴向右移动.在低频条件下,三阶WKB近似方法给出了无质量Dirac似正规模频率的数值结果.研究表明,Randall-Sundrum双膜模型中的黑洞在无质量Dirac扰动随时间的演化过程中是趋于稳定的.