Quasinormal modes of d-dimensional spherical black holes with a near extreme cosmological constant

TL;DR

This paper derives the quasinormal modes for scalar perturbations in near-extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes, revealing a universal effective potential behavior.

Contribution

It provides a new analytical expression for quasinormal modes in higher-dimensional near-extreme black holes, highlighting the universality of the Poschl-Teller potential.

Findings

Quasinormal modes are characterized by a Poschl-Teller potential in the near-extreme limit.

Results are largely independent of spacetime dimension and scalar field mass.

The derived expression simplifies understanding of black hole perturbations in higher dimensions.

Abstract

We derive an expression for the quasinormal modes of scalar perturbations in near extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes. We show that, in the near extreme limit, the dynamics of the scalar field is characterized by a Poschl-Teller effective potential. The results are qualitatively independent of the spacetime dimension and field mass.