Shadows and Optical Appearances of Black Holes in $R^2$ Gravity

Abstract

In this paper, we consider a charged AdS/dS black hole (BH) in $R^2$ gravity and study its optical features, including the shadow's geometrical shape and the energy emission rate. Additionally, we look for criteria to restrict the free parameters of the theory by comparing them to observational data of M87${}^{\star }$. Then, we employ the Newman-Janis algorithm to build the rotating counterpart of the static solution in $R^2$ gravity and calculate the energy emission rate for the rotating case as well as discuss how the rotation factor and other parameters of this theory affect the emission of particles around the BHs. In the following, we consider the obtained rotating BH as a supermassive black hole and evaluate the parameters of the model with shadow size estimates based on the observations of M87${}^{\star }$ from EHT.

arXiv comment21 pages,13 figures, accepted for publication in Astroparticle Physics

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• Optical Signatures of Einstein-Euler-Heisenberg AdS/dS Black Holes in the light of Event Horizon Telescope
• Strong Lensing Effect and Quasinormal Modes of Oscillations of Black Holes in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory
• Shadow geometry of Kerr MOG naked singularity and analysis of accretion disk luminosity
• Black holes in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics
• Dynamics of Geodesics in Non-linear Electrodynamics Corrected Black Hole and Shadows of its Rotating Analogue