Bardeen-Kiselev black hole with a cosmological constant

Rodrigues, Manuel E.; Silva, Marcos V. de S.; Vieira, Henrique A.

doi:10.1103/physrevd.105.084043

Cited by 26 publications

(14 citation statements)

References 100 publications

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“…For the line element (13), with the metric ( 14) and the conserved quantities (36), in the equatorial plane (for θ = π 2 ) one obtains the following relation…”

Section: Null Trajectoriesmentioning

confidence: 99%

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The Kiselev solution in power-Maxwell electrodynamics

Dariescu¹,

Dariescu²,

Lungu³

et al. 2022

Preprint

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In this work we reconsider the solution describing black holes surrounded by a 'quintessence'-like fluid. This geometry was introduced by Kiselev in 2003 and its physical source was originally modeled by an anisotropic fluid. We show that the Kiselev geometry is actually an exact solution of the Einstein equations coupled to nonlinear electrodynamics. More specifically, we show that the Kiselev geometry becomes an exact solution in the context of power-Maxwell electrodynamics, using either an electric ansatz or a magnetic one. In both cases the physical source can be modeled by a power-Maxwell Lagrangian, albeit with different powers corresponding to the electric or the magnetic charges. We investigate the timelike and null geodesics in this geometry and show that the solution of the massless Klein-Gordon equation can be expressed by means of the Heun functions, for particular values of the power coefficient q. Finally, we give the proper interpretation of the black-hole thermodynamics in this context. Similarly to the Schwarzschild-de Sitter case, we note the presence of the Schottky peaks in the heat capacity, signaling out the possibility of this thermodynamic black hole system to function as a continuous heat machine.

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“…For the line element (13), with the metric ( 14) and the conserved quantities (36), in the equatorial plane (for θ = π 2 ) one obtains the following relation…”

Section: Null Trajectoriesmentioning

confidence: 99%

“…An exact solution involving a regular Bardeen black hole with quintesence was previously found in[36].…”

mentioning

confidence: 91%

The Kiselev solution in power-Maxwell electrodynamics

Dariescu¹,

Dariescu²,

Lungu³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Beato and Garcia [13] proposed a magnetic solution of the Einstein equations coupled with nonlinear electrodynamics. Then, several papers studied this type of black hole solution [14][15][16][17][18]. For example, in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…[19], the shadow of the Bardeen black hole was calculated and a set of tests was performed on fundamental physics from the shadow of Sgr A*. A Bardeen black hole solution with a cloud of strings was obtained very recently in [17]. Although this black hole solution has the same event horizon characteristic as the regular Bardeen solution, the string parameter a makes the solution singular at the origin.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes of Bardeen black holes with a cloud of strings*

Liu 刘,

Zhang 张

2023

Chinese Phys. C

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We investigate the quasinormal mode and greybody factor of Bardeen black holes with a string clouds by WKB approximation and verify them by Prony algorithm. We found that the imaginary part of the quasinormal modes spectra is always negative and the perturbation does not increase with the time, indicating that the system is stable under scalar field perturbation. Moreover, the string parameter $a$ has a dramatically impact on the frequency and decay rate of the waveforms. In addition, the greybody factor becomes larger when $a$ and $\lambda$ increase while $q$ and $l$ decreases. The parameter $\lambda$ and $l$ have a big effect on the tails. Especially, when $l=0$, a de Sitter phase appears at the tail.

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“…It was realized that one can use nonlinear electrodynamics to construct regular black hole [51], and now we have solutions that: possess electric charge as source [52,53]; it's obtained using f (r) theory [54][55][56], and also using f (G) theory [56,57]; possess angular momentum [58,59]; and on Rainbow Gravity [60]. There is also in the literature a Bardeen solution surrounded by the quintessence [61], a work that shows how the regularity of the model is lost when a singular solution is attached to it. Therefore, we aim here to build a solution that is Bardeen surrounded by clouds of strings.…”

mentioning

confidence: 99%

Bardeen solution with a cloud of strings

Rodrigues

Vieira²

2022

Phys. Rev. D

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In this paper we present a Bardeen solution surrounded by a cloud of strings fluid. We show how this model has the same event horizon characteristic as the Bardeen solution, however, the parameter of the strings make the solution singular at the origin. We also analyze the solution from a thermodynamic point of view. We calculate the system's state function, enthalpy; the temperature; and the other potentials; as a function of entropy. By analyzing the thermodynamic coefficients, we show that the solution presents three distinct phases, two of which are stable and one unstable. These three phases could be best visualized using a plot of Gibbs free energy versus temperature. In the end, we calculate the critical exponents and find that they are the same as those found in Van der Walls theory.

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Bardeen-Kiselev black hole with a cosmological constant

Cited by 26 publications

References 100 publications

The Kiselev solution in power-Maxwell electrodynamics

The Kiselev solution in power-Maxwell electrodynamics

Quasinormal modes of Bardeen black holes with a cloud of strings*

Bardeen solution with a cloud of strings

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