Quasinormal modes of the Schwarzschild black hole with a deficit solid angle and quintessence-like matter: improved asymptotic iteration method

Abstract

We study the quasinormal modes (QNMs) for scalar and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth-order WKB approximation and the improved asymptotic iteration method, we can determine the dependence of the QNMs on the parameters of the black hole and the parameters on the test fields. The values of the real part and imaginary parts of the QNMs increase with the decrease of the values of the deficit solid angle and density of quintessence-like matter. The QNMs gotten by these two methods are in good agreement. Using the finite difference method, we obtain the time evolution profile of such perturbations in this black hole.