Scalar perturbations of a single-horizon regular black hole
Ramin G. Daghigh, Michael D. Green, Jodin C. Morey, G. Kunstatter
Abstract
We investigate the massless scalar field perturbations, including the quasinormal mode spectrum and the ringdown waveform, of a regular black hole spacetime that was derived via the loop quantum gravity inspired polymer quantization of spherical four-dimensional black holes. In contrast to most, if not all, of the other regular black holes considered in the literature, the resulting nonsingular spacetime has a single bifurcative horizon and hence no mass inflation. In the interior, the areal radius decreases to a minimum given by the polymerization constant, $k$, and then reexpands into a Kantowski-Sachs universe. We find indications that this black hole model is stable against small scalar perturbations. We also show that an increase in the magnitude of $k$ will decrease the height of the quasinormal mode potential and give oscillations with lower frequency and less damping.