Investigation of the quasinormal modes of a Schwarzschild black hole by a new generalized approach

Abstract

This paper introduces a new analytical approach for the calculation of Quasi Normal Modes (QNMs) of black holes. The proposed method employs the Rosen-Morse function, in order to find the approximated quasi-normal frequencies of Schwarzschild black hole. The presented method, compared with the previous related method, demonstrates to be a more precise approximation. The corrected modes based on this research, are claimed to be a generalized form of QNMs found by Pösch-Teller function. The numerical results of the new approach are calculated and compared with the results obtained by Mashhoon method and numerical method.

Keywords

• Black hole
• Quasi normal mode
• Pösch-Teller function
• Rosen-Morse potential