Electromagnetic quasinormal modes of D-dimensional black holes II

Understand

By using the sixth order WKB approximation we calculate for an electromagnetic field propagating in D-dimensional Schwarzschild and Schwarzschild de Sitter black holes its quasinormal frequencies for the fundamental mode and first overtones.

• We study the dependence of these QN frequencies on the value of the cosmological constant and the spacetime dimension.
• We also compare with the known results for the gravitational perturbations propagating in the same background.
• Moreover we exactly compute the QN frequencies of the electromagnetic field propagating in D-dimensional massless topological black hole and for charged D-dimensional Nariai spacetime we exactly calculate the QN frequencies of the coupled electromagnetic and gravitational perturbations.