Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity *

Arrechea, Julio; Delhom, Adrià; Jiménez-Cano, Alejandro

doi:10.1088/1674-1137/abc1d4

Cited by 91 publications

(65 citation statements)

References 27 publications

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“…None of the above observations disproves the dimensional regularization suggested in [15]. Recently in [61] it was claimed that nonlinear perturbations cannot be regularized in the same way, although the linear perturbations do not have this problem [19,29]. Apparently non-linear perturbations and the initial value problem must be further studied within the above approach.…”

Section: Introductionmentioning

confidence: 89%

4D Einstein-Lovelock Black Holes: Hierarchy of Orders in Curvature

Konoplya

Zhidenko

2020

Preprint

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The Einstein-Lovelock theory contains an infinite series of corrections to the Einstein term with an increasing power of the curvature. It is well-known that for large black holes the lowest (Gauss-Bonnet) term is the dominant one, while for smaller black holes higher curvature corrections become important. We will show that if one is limited by positive values of the coupling constants, then the dynamical instability of black holes serves as an effective cut-off of influence of higher curvature corrections in the 4D Einstein-Lovelock approach: the higher is the order of the Lovelock term, the smaller is the maximal value of the coupling constant allowing for stability, so that effectively only a first few orders can deform the observable values seemingly. For negative values of coupling constants this is not so, and, despite some suppression of higher order terms also occurs due to the decreasing threshold values of the coupling constant, this does not lead to an noticeable opportunity to neglect higher order corrections. In the case a lot of orders of Lovelock theory are taken into account, so that the black-hole solution depends on a great number of coupling constants, we propose a compact description of it in terms of only two or three parameters encoding all the observable values.

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Section: Introductionmentioning

confidence: 89%

4D Einstein-Lovelock Black Holes: Hierarchy of Orders in Curvature

Konoplya

Zhidenko

2020

Preprint

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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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“…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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Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity *

Cited by 91 publications

References 27 publications

4D Einstein-Lovelock Black Holes: Hierarchy of Orders in Curvature

4D Einstein-Lovelock Black Holes: Hierarchy of Orders in Curvature

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

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

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