Stability of the Einstein Static Universe in $4 D$ Gauss-Bonnet Gravity

Li, Shou-Long; Wu, Puxun; Yu, Hongwei

doi:10.48550/arxiv.2004.02080

Cited by 23 publications

(27 citation statements)

References 115 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: 90%

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: 90%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao,

OuYang,

Wang

et al. 2020

Preprint

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“…It is worth mentioning that these consistent theories share the black hole solutions with the original 4D EGB gravity that attracted a great deal of attention. For instance, the black hole solutions [103]- [111], quasinormal modes and stability analysis of black holes [112]- [118], thermodynamics and weak cosmic censorship [119]- [122], thin accretion disks [123]- [124], test particle motion and black hole shadow [125]- [131], gravitational lensing [132]- [135] and also some cosmological aspects of 4D EGB gravity [136]- [141] have been extensively studied. In this paper, we consider 4D EGB black holes surrounded by quintessence matter [142] to study the null geodesics around them and investigate the effects of the model parameters on these trajectories.…”

Section: Introductionmentioning

confidence: 99%

Null geodesics and shadow of 4$D$ Einstein-Gauss-Bonnet black holes surrounded by quintessence

Heydari-Fard,

Heydari-Fard

2021

Preprint

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We study the properties of the null geodesics of four-dimensional Einstein-Gauss-Bonnet black holes surrounded by quintessence matter. Due to the quintessence correction, we discuss the radial and non-radial geodesics. For the case of non-radial geodesics we obtain the effective potential, photon sphere and impact parameter associated to the null geodesics in details. We analyze the different possible orbits of massless particles (i.e. photons) such as unstable circular orbits and unbounded orbits and investigate the role of the Gauss-Bonnet coupling α and the quintessence parameter q on the null geodesic trajectories. Moreover, we study the effects of the model parameters on the shadow cast by such black holes. The results are compared to that of Schwarzschild black hole with and without quintessence matter and four-dimensional Einstein-Gauss-Bonnet black holes without quintessence. As a physical application of null geodesics, the deflection angle is calculated and the effect of the quintessence matter on it is investigated.

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“…When taking the limit α → 0, the RN-AdS will be recovered. There are many studies on the thermodynamic properties of 4D Gauss-Bonnet black holes [59][60][61][62][63][64][65][66][67][68].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field

Mu,

Liang,

Guo

2020

Preprint

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By using the scattering of a scalar field, we discuss the thermodynamics and overcharging problem in a 4D Gauss-Bonnet AdS black hole in both the normal phase space and extended phase space.In the normal phase space, where the cosmological constant and Gauss-Bonnet parameter are fixed, the first law and the second law of thermodynamics are valid. In addiction, the black hole cannot be overcharged and the weak cosmic censorship conjecture is valid. In the extended phase space, where the cosmological constant and Gauss-Bonnet parameter are treated as the thermodynamic variables, the first law is still valid. However, the second law is indefinite. Moreover, after the scattering of the scalar field, the extremal black hole cannot be overcharged and the near-extremal black hole can be overcharged.

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Stability of the Einstein Static Universe in $4 D$ Gauss-Bonnet Gravity

Cited by 23 publications

References 115 publications

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Null geodesics and shadow of 4$D$ Einstein-Gauss-Bonnet black holes surrounded by quintessence

Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field

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