Quantum corrected black holes: Quasinormal modes, scattering, shadows

Abstract

The spherically symmetric deformation of the Schwarzschild solution owing to the quantum corrections to gravity is known as Kazakov-Solodukhin black-hole metric. Neglecting non-spherical deformations of the background the problem was solved non-perturbatively. Here we analyze the basic characteristics of this geometry, such as: quasinormal modes and grey-body factors of fields of various spin and shadow cast by this black hole. The WKB approach and time-domain integration method, which we used for calculation of quasinormal modes, are in a good concordance. The analytical formula for quasinormal modes is deduced in the eikonal regime. The radius of shadow is decreasing when the quantum deformation is turned on.

Null geodesics, quasinormal modes, and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes

“…Moreover, the shadow span in the sixdimensional EYM black hole is larger than that in the fivedimensional EYM black hole when the gauge charge is increasing from 0.1 to 0.6. The other property that is worth noting is that there are no reflecting points 4 at which the shadow radius will shrink with the increasing of the gauge charge.…”

“…It is quite obvious that the angular velocity and Lyapunov exponent of the null geodesics are decreasing monotonically with the increasing of the gauge charge from 4 The reflecting point exists [19] in the spacetime of black holes surrounded by the perfect fluid dark matter, where the metric function contains a logarithmic term. Here we emphasize that no such reflecting point exists in the five-dimensional EYM black hole although a logarithmic term appears in its metric function, see Eq.…”

“…Based on the general relativity and alternative theories of gravity, QNMs have been studied in a wide range of issues [3][4][5][6][7][8]. Most of the research of QNMs rely on numerical computations, but only a few on analytical computations.…”

Weak Deflection Angle of Kazakov-Solodukhin Black Hole in Plasma Medium

“…However, to understand the inside of the Black hole and the Big Bang, these theories should be combined and the quantum corrections must be located in the Schwarzcshild solution according to the various approaches to unify them. Kazakov and Solodukhin show that the generalization of the Schwarzschild solution is possible by neglecting the non-spherical deformations using the effective scalar-tensor gravity [5] and its properties are studied in [6][7][8]. Furthermore gravitational lensing (GL) is one of the famous prediction and numerous individuals also verified these experiments [9,10].…”

Weak Deflection Angle by Casimir Wormhole Using Gauss-Bonnet Theorem and Its Shadow

“…Bardeen [97,98] analyzed shadow cast of Kerr black hole and more propagation was given by Falcke [99]. Some other works can be found in Refs [100][101][102][103][104][105][106][107]. Main purpose of the paper is to calculate the deflection angle in non-plasma and plasma medium and shadow caste by Casimir wormhole.…”