An Overview of Quasinormal Modes in Modified and Extended Gravity

Abstract

As gravitational waves are now being nearly routinely measured with interferometers, the question of using them to probe new physics becomes increasingly legitimate. In this article, we rely on a well established framework to investigate how the complex frequencies of quasinormal modes are affected by different models. The tendencies are explicitly shown, for both the pulsation and the damping rate. The goal is, at this stage, purely qualitative. This opportunity is also taken to derive the Regge-Wheeler equation for general static and spherically symmetric metrics.

Shadow and quasinormal modes of a rotating loop quantum black hole

“…5 of Ref. [106], where minus the imaginary part of of QNMs, −ω , appears to be a decreasing function of ω , and in our Fig. 10 where −ω is an increasing function of ω .…”

“…This seems to be not the case in Ref. [106] where a non-monotonic behavior of the real part of QNMs in terms of δ, with γ held constant, has been obtained. When γ is held constant P becomes a monotonically increasing function of δ.…”

“…Note that the gravitational perturbations in the spacetime of metric (1) has been investigated in Refs. [70] and [106]. In Ref.…”

“…In Ref. [106] the metric of the non-rotating loop quantum black hole was expressed in terms of the mass parameter m which is related to the ADM mass M by M = (1 + P ) 2 m. However, some care must be taken due to the fact that the physical mass measured by an observer located at spatial infinity is the ADM mass M and not the mass parameter m. Taking into consideration this fact, we have expressed in this present work, the metrics of the non-rotating and rotating loop quantum black holes in terms of the ADM mass to study the shadow and the QNMs. From the shadow plots, Fig.…”

“…11 yielding a variable m, while in Ref. [106] m has been held constant resulting in a variable physical mass M . The same can be said for the seemingly contradictory behavior in Fig.…”