Scalar perturbations of a single-horizon regular black hole
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.