Quasinormal modes of accelerating spacetime*

Abstract We calculate the exact values of the quasinormal frequencies for massless perturbations with spin propagating in purely accelerating spacetime. Using two different methods, we transfer the perturbation equations into hypergeometric differential equations and obtain identical quasinormal frequencies. These purely imaginary spectra are shown to be independent of the spin of the perturbation and match those of the acceleration modes identified in accelerating black holes in the Minkowski limit. This implies that the acceleration modes originate from the purely accelerating spacetime and that the presence of black holes would deform the spectra. Additionally, we compute the quasinormal frequencies of scalar, electromagnetic, and gravitational perturbations in D -dimensional de Sitter spacetime and compare them with previous findings to validate our method.