Quasi-normal modes of quantum gravity black hole with perfectly fluid dark matter

TL;DR

This paper investigates how perfectly fluid dark matter influences the quasi-normal modes and photon sphere of a quantum gravity black hole, revealing effects on gravitational wave signatures and black hole shadows.

Contribution

It introduces the analysis of PFDM effects on QNMs and photon spheres in RG improved Schwarzschild black holes, combining dark matter physics with quantum gravity perturbations.

Findings

PFDM parameter affects photon sphere radius

PFDM influences quasi-normal mode frequencies

Black hole shadow size varies with dark matter parameter

Abstract

In this work, we have studied the motion of a massless scalar photon in the renormalization group (RG) improved Schwarzschild black hole spacetime in the presence of perfectly fluid dark matter (PFDM). Considering the critical orbit conditions and the null geodesics condition in static spherically sym- In metric geometry, we have shown the variation of the radius of the photon sphere $r_{ph}$ with the PFDM parameter $\zeta$. Due to perturbations in black hole spacetime, gravitational waves are emitted in the form of quasi-normal radiations, which correspond to quasi-normal modes (QNMs). In this work, we have studied two types of perturbations in RG improved Schwarzschild spacetime: scalar field perturbations and electromagnetic (EM) field perturbations. For both cases, we have studied the effect of the PFDM parameter on the quasi-normal mode frequencies and the shadow of the black hole, which is related to the photon radius.