Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma

Jin, Xing-Hua; Gao, Yuan-Xing; Liu, Dao-Jun

doi:10.48550/arxiv.2004.02261

Cited by 21 publications

(20 citation statements)

References 63 publications

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“…Interestingly, the solution of the same form has been presented in the conformal anomaly inspired gravity [39]. Along this line, the Einstein-Gauss-Bonnet gravity in the 4D spacetime has been explored extensively on various aspects, including the exact solutions [40][41][42][43][44][45][46][47][48], the quasinormal modes and stability [49][50][51][52][53][54][55][56][57][58], the observable shadows [59][60][61][62][63][64], the geodesics and gravitational lensing [65][66][67][68][69], the thermodynamics and cosmic censorship conjecture [70][71][72][73][74][75][76][77][78],…”

Section: Introductionmentioning

confidence: 89%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao,

OuYang,

Wang

et al. 2020

Preprint

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We investigate the neutral AdS black-hole solution in the novel four-dimensional Einstein-Gauss-Bonnet gravity proposed in [D. Glavan and C.S. Lin, Phys. Rev. Lett. 124, 081301 (2020)] and construct the gravity duals of (2 + 1)-dimensional superconductors with Gauss-Bonnet corrections in the probe limit. We find that the curvature correction has a more subtle effect on the scalar condensates in the s-wave superconductor in (2 + 1)-dimensions, which is different from the finding in the higher-dimensional superconductors that the higher curvature correction makes the scalar hair more difficult to be developed in the full parameter space. However, in the p-wave case, we observe that the higher curvature correction always makes it harder for the vector condensates to form in various dimensions. Moreover, we note that the higher curvature correction results in the larger deviation from the expected relation in the gap frequency ωg/Tc ≈ 8 in both (2 + 1)-dimensional s-wave and p-wave models.

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Section: Introductionmentioning

confidence: 89%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao,

OuYang,

Wang

et al. 2020

Preprint

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“…According to [52], rescaling the Gauss-Bonnet gravity term α → α/(D − 4) and taking the limit D → 4 causes singularity resolution and makes study the higher order corrections in 4-dimensional possible [52]. By following this approach, many researches are done to explore different aspects of Gauss-Bonnet gravity in D = 4 such as gravitational lensing, the thermodynamics, the observable shadows and the quasinormal modes [53][54][55][56][57][58][59][60][61][62]. However, some criticisms on this method were revealed and argued that there is no pure four-dimensional Gauss-Bonnet gravity [63][64][65][66].…”

Section: Introductionmentioning

confidence: 99%

Gauss-Bonnet holographic superconductors in lower-dimensions

Mohammadi¹,

Sheykhi²

2022

Preprint

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We study the properties of holographic s-wave and p-wave superconductors with higher order corrections in Gauss-Bonnet gravity in 3 and 4-dimensional spacetime. We employ shooting method to solve equations of motion numerically and obtain the effect of different values of mass, nonlinear and Gauss-Bonnet parameters on critical temperature and condensation. Based on our results, increasing each of these three parameters leads to lower temperatures and larger values of condensation. This phenomenon is rooted in the fact that conductor/superconductor phase transition faces with difficulty for higher effect of nonlinear and Gauss-Bonnet terms in the presence of a massive field.In addition, we study the electrical conductivity in holographic setup. In D = 4, real and imaginary parts of conductivity in holographic s-and p-wave models behave similarly and follow the same trend as higher dimensions by showing the delta function and divergence behavior at low frequency regime that Kramers-Kronig relation can connect these two parts of conductivity to each other. We observe the appearance of a gap energy at ωg ≈ 8Tc which shifts toward higher frequencies by diminishing temperature and increasing the effect of nonlinear and Gauss-Bonnet terms. Conductivity in D = 3 is far different from other dimensions. Even the real and imaginary parts in s-and p-wave modes pursue various trends. For example in ω → 0 limit, imaginary part in holographic s-wave model tends to infinity but in p-wave model approaches to zero. However, the real parts in both models show a delta function behavior. In general, real and imaginary parts of conductivity in all cases that we study tend to a constant value in ω → ∞ regime.

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“…The physical properties and the novel observable effects for these black hole solutions have been explored in refs. [2][3][4][5][6][7]. However, there are also some criticisms on this theory of 4D Einstein-Gauss-Bonnet Gravity [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime

Li,

Chen,

Jing

2021

Preprint

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We have investigated tidal forces and geodesic deviation motion in the 4D-Einstein-Gauss-Bonnet spacetime. Our results show that tidal force and geodesic deviation motion depend sharply on the sign of Gauss-Bonnet coupling constant. Comparing with Schwarzschild spacetime, the strength of tidal force becomes stronger for the negative Gauss-Bonnet coupling constant, but is weaker for the positive one. Moreover, tidal force behaves like those in the Schwarzschild spacetime as the coupling constant is negative, and like those in Reissner-Nordström black hole as the constant is positive.We also present the change of geodesic deviation vector with Gauss-Bonnet coupling constant under two kinds of initial conditions.

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Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma

Cited by 21 publications

References 63 publications

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Gauss-Bonnet holographic superconductors in lower-dimensions

Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime

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