Analytic charged BHs in f(R) gravity

Nashed, G. G. L.; Nojiri, Shin’ichi

doi:10.1016/j.physletb.2021.136475

Cited by 18 publications

(7 citation statements)

References 187 publications

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“…The main feature of f (R) gravity is that an arbitrary Ricci scalar describes the Lagrangian density. The model that is based on f (R) gravity is one of the most elementary theories among several modified theories of gravity used to explain it [15][16][17][18][19][20][21][22][23][24][25][26]. Furthermore, to generalize these theories, another important parameter that should be studied is the impact of electric charge.…”

Section: Introductionmentioning

confidence: 99%

Geodesics of a Static Charged Black Hole Spacetime in f(R) Gravity

et al. 2022

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In recent years, the modification of general relativity (GR) through f(R) gravity is widely used to study gravity in a variety of scenarios. In this article, we study various physical properties of a black hole (BH) that emerged in the linear Maxwell f(R) gravity to constrain the values of different BH parameters, i.e., c and α. In particular, we study those values of the defining α and c for which the particles around the above-mentioned BH behave like other astrophysical BH in GR. The main motivation of the present research is to study the geodesics equations and discuss the possible orbits for c=0.5 in detail. Furthermore, the frequency shift of a photon emitted by a timelike particle orbiting around the BH is studied given different values of α and c. The stability of both timelike and null geodesics is discussed via Lyapunov’s exponent.

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Section: Introductionmentioning

confidence: 99%

Geodesics of a Static Charged Black Hole Spacetime in f(R) Gravity

et al. 2022

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“…To investigate whether the

F(R)

theory is realistic, spherically symmetric and static black hole solutions have been investigated. [ 30–43 ] In the gravitational collapse, all the matters including the charged ones are absorbed into the black hole, and therefore even in the

F(R)

gravity, there must exist charged black hole. Thus, it is important to investigate the stationary black hole solutions in the

F(R)

gravity coupled with the electromagnetic fields and the contribution from the electromagnetic fields to the geometry in the framework of the

F(R)

gravity.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, it is important to investigate the stationary black hole solutions in the

F(R)

gravity coupled with the electromagnetic fields and the contribution from the electromagnetic fields to the geometry in the framework of the

F(R)

gravity. The black hole solutions in

F(R)

gravity in vacuum or in the case with electromagnetic fields have been studied in [30, 31, 38, 39, 44–50] and in [51–53], the scalar fields have been included as matter in three and four dimensions while the

F(R)

gravity coupled with/without non‐minimally coupled scalar fields as a matter has been studied in the frame of cosmology. [ 54,55 ] Capozziello et al.…”

Section: Introductionmentioning

confidence: 99%

Black Holes with Electric and Magnetic Charges in F(R)$F(R)$ Gravity

Nashed

Nojiri

2022

Fortschritte der Physik

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We construct spherically symmetric and static solutions in Ffalse(Rfalse)$F(R)$ gravity coupled with electromagnetic fields. The solutions include new types of black holes with electric and magnetic charges. We show that the higher‐derivative terms make the curvature singularity much softer than that in the charged black holes in Einstein's general relativity. We calculate some thermodynamical quantities of the obtained black holes like entropy, Hawking radiation, and quasi‐local energy and we confirm that the black hole solutions satisfy the first law of thermodynamics. Finally, we study the stability analysis using the odd‐type mode and show that there are stable black hole solutions and the radial speed of the parity‐odd mode is unit, that is, the speed of light.

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“…Among various f (R) models, a specific model f (R) = R − 2α √ R is of special interest and attracts continuous attention, especially in searching for SSS solutions of the field equations in this and other similar models [13,[18][19][20][21][22][23][24][25][26]. The parameter α, which has the dimension of the inverse mass, is a key characteristic of this model, and thus plays a decisive role in constructing black holes (BHs).…”

Section: Introductionmentioning

confidence: 99%

Scalar Perturbations of Black Holes in the f(R)=R−2αR Model

Jiang

et al. 2022

Universe

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In this paper, we study the perturbations of the charged static spherically symmetric black holes in the f(R)=R−2αR model by a scalar field. We analyze the quasinormal modes spectrum, superradiant modes, and superradiant instability of the black holes. The frequency of the quasinormal modes is calculated in the frequency domain by the third-order WKB method, and in the time domain by the finite difference method. The results by the two methods are consistent and show that the black hole stabilizes quicker for larger α satisfying the horizon condition. We then analyze the superradiant modes when the massive charged scalar field is scattered by the black hole. The frequency of the superradiant wave satisfies ω∈(μ2,ωc), where μ is the mass of the scalar field, and ωc is the critical frequency of the superradiance. The amplification factor is also calculated by numerical method. Furthermore, the superradiant instability of the black hole is studied analytically, and the results show that there is no superradiant instability for such a system.

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Analytic charged BHs in f(R) gravity

Cited by 18 publications

References 187 publications

Geodesics of a Static Charged Black Hole Spacetime in f(R) Gravity

Geodesics of a Static Charged Black Hole Spacetime in f(R) Gravity

Black Holes with Electric and Magnetic Charges in F(R)$F(R)$ Gravity

Scalar Perturbations of Black Holes in the f(R)=R−2αR Model

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