Shadow, deflection angle and quasinormal modes of Born-Infeld charged black holes

Abstract

In this paper, we consider black holes in the consistent Aoki-Gorji-Mukohyama theory of the four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity in the presence of Born-Infeld (BI) nonlinear electrodynamics. We study several optical features of these black holes such as the shadow radius, energy emission rate and deflection angle, and analyse the effect of the coupling constants, the electric charge and cosmological constant on the considered optical quantities. Furthermore, we also employ the connection between the shadow radius and quasinormal modes (QNMs) and investigate small scalar perturbations around the black hole solution. We show that the variation of the parameters of the theory provide specific signatures on the optical features of the BI charged black hole solution, thus leading to the possibility of directly testing this consistent Aoki-Gorji-Mukohyama 4D EGB black hole model by using astrophysical observations.

New Model of 4D Einstein–Gauss–Bonnet Gravity Coupled with Nonlinear Electrodynamics

“…where m is the Schwarzschild mass (the constant of integration), and M = m + m M is the total mass of the BH. One can verify that the Weyl tensor for the D-dimensional spatial part of the spherically symmetric D-dimensional line element ( 6) vanishes [39]. As a result, the new solution (11) obtained in the framework of [6] is also a solution for the consistent theory [36][37][38].…”

“…Then, they regularized the Hamiltonian with counterterms, where D − 1 diffeomorphism invariance holds and taking the limit D → 4. It should be noted that the theory of [36][37][38], in the spherically symmetric metrics, represents the solution that is a solution in the scheme of [6] (see [39]). In this work, we obtain a black hole (BH) solution in the 4D EGB gravity coupled with nonlinear electrodynamics (NED) proposed in [40] in the framework of [36][37][38] theory.…”

Charged stars in 4D Einstein–Gauss–Bonnet gravity

“…when a = − 1 2 and b = 1 we regain the uncharged dense neutron star of Durgapal and Bannerji [78] and Tikekar super dense star model [79] for the values a = −1, b = 7. On substituting ( 21) in (19) and using ( 20) we obtain the function of y(r ) which is…”

“…This idea evoked great interest amongst researchers and was extensively investigated in many configurations such as spherically symmetric and static black hole solutions including their physical properties [8][9][10][11][12][13][14], charged black hole [15,16], black holes coupled with magnetic charge and nonlinear electrodynamics [17][18][19]. In this framework the strong/ weak gravitational lensing by black holes [20][21][22], quasi-normal modes [23][24][25], black hole shadows [26][27][28], wormholes and thin-shell wormholes [29,30] and some other relevant works have also been investigated in [31].…”

4D Einstein-Gauss-Bonnet Gravity Coupled with Nonlinear Electrodynamics

“…Then they regularized the Hamiltonian with counter terms where D − 1 diffeomorphism invariance holds and taking the limit D → 4. It should be noted that the theory of [30]- [32], in the spherically-symmetric metrics, represents the solution that is a solution in the scheme of [2] (see [33]). In this work, we obtain a black hole (BH) solution in the 4D EGB gravity coupled with nonlinear electrodynamics (NED) proposed in [34] in the framework of [30]- [32] theory.…”