A note on the novel 4D Einstein–Gauss–Bonnet gravity

Ai, Wen-Yuan

doi:10.1088/1572-9494/aba242

Cited by 156 publications

(88 citation statements)

References 48 publications

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“…However, the original claim of ref. [37] is clearly in contradiction with the Lovelock theorem, and some subtleties and criticisms on the D → 4 limit were revealed in [87][88][89][90][91], concluding that there is no pure four-dimensional Einstein-Gauss-Bonnet gravity [92,93]. In refs.…”

Section: Jhep12(2020)192mentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao

Ouyang

Wang

et al. 2020

J. High Energ. Phys.

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We investigate the neutral AdS black-hole solution in the consistent D → 4 Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett. B810 (2020) 135843] 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: Jhep12(2020)192mentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao

Ouyang

Wang

et al. 2020

J. High Energ. Phys.

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“…The horizon is rescaled with the Gauss-Bonnet coupling constant α and the causal structure of the black hole radically is altered with a repulsive effect. Although this 4D EGB theory is currently under debate [11][12][13], it is worthy and meaningful to study the spherical symmetric black hole solution of 4D EGB gravity.…”

Section: Introductionmentioning

confidence: 99%

Bondi–Hoyle accretion around the non-rotating black hole in 4D Einstein–Gauss–Bonnet gravity

Dönmez

2021

Eur. Phys. J. C

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In this paper, the numerical investigation of a Bondi–Hoyle accretion around a non-rotating black hole in a novel four dimensional Einstein–Gauss–Bonnet gravity is investigated by solving the general relativistic hydrodynamical equations using the high resolution shock capturing scheme. For this purpose, the accreated matter from the wind-accreating X-ray binaries falls towards the black hole from the far upstream side of the domain, supersonically. We study the effects of Gauss–Bonnet coupling constant $$\alpha $$ α in 4D EGB gravity on the accreated matter and shock cones created in the downstream region in detail. The required time having the shock cone in downstream region is getting smaller for $$\alpha > 0$$ α > 0 while it is increasing for $$\alpha < 0$$ α < 0 . It is found that increases in $$\alpha $$ α leads violent oscillations inside the shock cone and increases the accretion efficiency. The violent oscillations would cause increase in the energy flux, temperature, and spectrum of X-rays. So the quasi-periodic oscillations (QPOs) are naturally produced inside the shock cone when $$-5 \le \alpha \le 0.8$$ - 5 ≤ α ≤ 0.8 . It is also confirmed that EGB black hole solution converges to the Schwarzschild one in general relativity when $$\alpha \rightarrow 0$$ α → 0 . Besides, the negative coupling constants also give reasonable physical solutions and increase of $$\alpha $$ α in negative directions suppresses the possible oscillation observed in the shock cone.

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“…However, there are also some debates on whether the novel gravity is a consistent and well-defined theory in four dimensions [45][46][47][48][49][50][51][52][53]. Such as, Gurses et al pointed out that the novel 4D EGB gravity does not admit a description in terms of a covariantly-conserved rank-2 tensor in four dimensions and the dimensional regularization procedure is ill-defined, since one part of the GB tensor, the Lanczos-Bach tensor, always remains higher dimensional [46].…”

Section: Introductionmentioning

confidence: 99%

Born–Infeld black holes in 4D Einstein–Gauss–Bonnet gravity

Yang

Wei

et al. 2020

Eur. Phys. J. C

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A novel four-dimensional Einstein-Gauss-Bonnet gravity was formulated by Glavan and Lin (Phys. Rev. Lett. 124:081301, 2020), which is intended to bypass the Lovelock’s theorem and to yield a non-trivial contribution to the four-dimensional gravitational dynamics. However, the validity and consistency of this theory has been called into question recently. We study a static and spherically symmetric black hole charged by a Born–Infeld electric field in the novel four-dimensional Einstein–Gauss–Bonnet gravity. It is found that the black hole solution still suffers the singularity problem, since particles incident from infinity can reach the singularity. It is also demonstrated that the Born-Infeld charged black hole may be superior to the Maxwell charged black hole to be a charged extension of the Schwarzschild-AdS-like black hole in this new gravitational theory. Some basic thermodynamics of the black hole solution is also analyzed. Besides, we regain the black hole solution in the regularized four-dimensional Einstein–Gauss–Bonnet gravity proposed by Lü and Pang (arXiv:2003.11552).

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A note on the novel 4D Einstein–Gauss–Bonnet gravity

Cited by 156 publications

References 48 publications

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Bondi–Hoyle accretion around the non-rotating black hole in 4D Einstein–Gauss–Bonnet gravity

Born–Infeld black holes in 4D Einstein–Gauss–Bonnet gravity

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