Exact black hole solutions with nonlinear electrodynamic field

Yu, Shuang; Gao, Changjun

doi:10.1142/s0218271820500327

Cited by 21 publications

(11 citation statements)

References 127 publications

(61 reference statements)

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“…In the next, let's consider the first law of black hole thermodynamics. Motivated by the procedure adopted in the investigations of black hole thermodynamics with non-linear Maxwell field [67], we find we should introduce two conjugated thermodynamical variables, ᾱ and A with ᾱ ≡ w…”

Section: Black Hole Thermodynamicsmentioning

confidence: 99%

On black holes with scalar hairs

Gao¹,

Qiu²

2021

Preprint

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By using the Taylor series method and the solution-generating method, we construct exact black hole solutions with minimally coupled scalar field. We find that the black hole solutions can have many hairs except for the physical mass. These hairs come from the scalar potential. Unlike the mass, there is no symmetry corresponding to these hairs, thus they are not conserved and one cannot understand them as Noether charges. They arise as coupling constants. Although there are many hairs, the black hole has only one horizon. The scalar potential becomes negative for sufficient large φ (or in the vicinity of black hole singularity). Therefore, the no-scalar-hair theorem does not apply to our solutions since the latter does not obey the dominant energy condition. Although the scalar potential becomes negative for sufficient large φ, the black holes are stable to both odd parity perturbations and scalar perturbations. As for even parity perturbations, we find there remains parameter space for the stability of the black holes. Finally, the black hole thermodynamics are developed.

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Section: Black Hole Thermodynamicsmentioning

confidence: 99%

On black holes with scalar hairs

Gao¹,

Qiu²

2021

Preprint

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“…We begin this section with the brief review of the BHs in gravity. An action of gravity coupled with NLE can be represented as [104]…”

Section: Ned Black Holes With Many Horizonsmentioning

confidence: 99%

Bounding Greybody and Weak Deflection Angle of NED Black Holes with Many Horizons

Javed¹,

Hussain²,

Овгун³

2021

Preprint

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In this project, our foremost intention is to analyze the angle of deflection of photon by NED black holes with many horizons in the context of non-linear electrodynamics. For the accomplishment of our intention at first we manipulated the optical metric of the desired black holes for the calculation of Gaussian curvature. After that, the angle of deflection in leading orders is attained from the desired black holes in weak field limit by using the famous Gauss-Bonnet theorem. Moreover, we evince the effect of plasma medium on the angle of deflection. At last, the graphical impact of the angle of deflection for NED black holes with many horizons is examined with respect to black hole charge and impact parameter in both the plasma and non plasma medium. In addition, we discuss the rigorous bound for grey body factor of the desired black hole and also observer its graphical behavior.

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“…Here we consider the system with N = 8 to capture the general features of larger systems. In general, the master equation (9) for a small system may be solved numerically via the exact diagonalization method [54], the approach of direct solving the matrix differential equation and the Monte Carlo wave-function (MCWF) method [51]. In comparison, the MCWF approach, where the density matrix ρ is treated as an ensemble of state vectors suffered irreversible quantum jumps, can also be applied to compute two-time correlation functions.…”

Section: White Noisementioning

confidence: 99%

Open Ising model perturbed by classical colored noise

Dumke

2019

Phys. Rev. A

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We investigate the non-Markovian dynamics of an open Ising model simulated by a superconducting circuit. The quantum many-body system is weakly coupled to a white, pink-or blue-colored environment. The relaxation of the system in the strong inter-qubit interaction regime shows a metastable behaviour. In comparison with the dissipative system in the Markovian limit, the negative memory of the blue-colored noise weakens the system's relaxation. However, for the pink-colored noise the relaxation rate of the system is enhanced due to the positive memory effect. The understanding of quantum many-body systems responding to different colored noise fields is necessary for designing the environment of superconducting qubits in a large scale quantum processor. PACS numbers: 85.25.-j, 42.50.-p, 06.20.-f t 0 dsK(t, s)ρ(s), where ρ(t) is the system's density matrix operator and the two-time operator K(t, s) acts on the system's Hilbert space [16][17][18]. Secondly, local-in-time master equations derived from the time-convolutionless projection operator method [19,20]. The dynamic term in master equations is written in the form iHere the time-dependent decay rates γ i (t) can have temporarily negative values, which actually encode the system-evolution history. The practical usefulness of the former approach is limited due to the difficulty in the evaluation of the memory integral, and also the memory kernel alone does not guarantee the non-Markovian character [21]. In contrast, the latter approach is mathematically simple and has been widely applied to various non-Markovian problems [22][23][24][25].

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Exact black hole solutions with nonlinear electrodynamic field

Cited by 21 publications

References 127 publications

On black holes with scalar hairs

On black holes with scalar hairs

Bounding Greybody and Weak Deflection Angle of NED Black Holes with Many Horizons

Open Ising model perturbed by classical colored noise

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