Geodesic structure of the quantum-corrected Schwarzschild black hole surrounded by quintessence

Abstract

By considering the back-reaction of the spacetime through the spherically symmetric quantum fluctuations of the background metric, Kazakov and Solodukhin removed the singularity of the Schwarzschild black hole. This regular Schwarzschild black hole has a spherical central region with a radius of the order of the Planck length. On the other hand, due to the positively accelerating expansion of the Universe, it seems that there exists a universal repulsive force known as dark energy. In the framework of quantum field theories, the quintessence field is a candidate model for investigating and modeling dark energy. Accordingly, by taking into account the quintessential matter field in the background of the Schwarzschild black hole, Kiselev gained the metric of this black hole surrounded by quintessence. By combining these two above ideas, in this study, we consider the quantum-corrected Schwarzschild black hole surrounded by quintessence to investigate null and time-like geodesics structure. Generally, this study points out that black holes are quantum-gravitational objects. We will show that the accelerated expansion of the Universe, instead of dark energy, happens because of the presence of quantum effects in this setup. Also, due to the presence of the central Planck-size sphere, the regular black hole has been possessed a shifting over radial coordinate in its inner structure.

Asymptotically locally flat and AdS higher-dimensional black holes of Einstein–Horndeski–Maxwell gravity in the light of EHT observations: shadow behavior and deflection angle

“…Besides, the size and shape of black hole shadows (similar to other astrophysical phenomena [80][81][82][83][84]) may differ in extended theories of gravity through additional degrees of freedom arose from these theories. Therefore, investigating the size and shape of the black hole shadows may aid in evaluating parameters of black hole metrics and testing alternative theories of gravity.…”

The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence

“…In 2003, Kiselev derived a general form of the static spherically symmetric solutions of Einstein's equations and presented the line elements of electrically uncharged and charged black holes surrounded by quintessence matter [32]. Following this work, some other physicists obtained new solutions corresponding to various black holes of different properties in the presence of quintessence matter [33][34][35][36][37][38][39][40][41][42][43][44][45]. Recently, with the growing interest in black hole thermodynamics, we have observed studies discussing the influence of quintessence matter on the thermal quantities of black holes [46][47][48][49][50][51][52][53][54][55][56][57][58].…”