Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime

Glavan, Dražen; Lin, Chao

doi:10.1103/physrevlett.124.081301

Cited by 610 publications

(1,109 citation statements)

References 13 publications

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“…Here we suggested a natural generalization of the fourdimensional Einstein-Gauss-Bonnet theory of D. Glavan and C. Lin [18] to the higher curvature terms in the Lovelock form, that is, the four dimensional Einstein-Lovelock theory. Further we considered static black objects in this theory which allow for a cosmological term and electric charge.…”

Section: Discussionmentioning

confidence: 99%

“…In particular, for D = 4, eq. The Einstein-Gauss-Bonnet theory (corresponding to m = 2) implies existence of the two branches [18]…”

Section: Lovelock Theorymentioning

confidence: 99%

“…Here we generalize this idea for the arbitrary Lovelock theory, that is, we formulate the four-dimensional regularized Einstein-Lovelock theory in a similar way as it was done in [18] for the Einstein-Gauss-Bonnet case. Further we discuss static charged black objects in this Einstein-Lovelock theory, allowing for an (either positive or negative) cosmological constant curvature.…”

Section: Introductionmentioning

confidence: 99%

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Black holes in the four-dimensional Einstein-Lovelock gravity

2020

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A (3 + 1)-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020)] which is different from the pure Einstein theory, i.e. bypasses the Lovelock's theorem, and avoids Ostrogradsky instability. The theory was formulated in D > 4 dimensions and its action consists of the Einstein-Hilbert term with a cosmological constant, and the Gauss-Bonnet term multiplied by a factor 1/(D − 4). Then, the four-dimensional theory is defined as the limit D → 4. Here we generalize this approach to the four-dimensional Einstein-Lovelock theory and formulate the most general static 4D black-hole solution allowing for a Λ-term (either positive or negative) and electric charge Q. As the metric functions cannot be found in a closed form in the general case, we develop and share publicly the code which constructs the metric functions for every given set of parameters.

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Section: Discussionmentioning

confidence: 99%

“…In particular, for D = 4, eq. The Einstein-Gauss-Bonnet theory (corresponding to m = 2) implies existence of the two branches [18]…”

Section: Lovelock Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Black holes in the four-dimensional Einstein-Lovelock gravity

2020

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“…What's more, it is an interesting topic to consider the movement of brane in background of asymtotically (A)dS black hole with scalar and electromagnetic hair [58][59][60], and check that how the Cardy-Verlinde formula is affected by the scalar charge. Finally, it is also worthwhile to explore the movement of brane in the inner spacetime of some non-singularity black hole solutions [61][62][63][64].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Brane universe and holography in the spacetime of a charged AdS dilaton black hole

2020

Phys. Rev. D

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In the background of a charged AdS dilaton black hole, we investigate the movement of a selfgraviting 3-brane and relevant holographic effects as the brane move close to the AdS boundary. The induced metric on brane corresponds to an exact FLRW geometry, while the evolution of brane is determined by Israel junction condition and the effective Einstein field equation on brane together. When the brane approaches the AdS boundary, AdS/CFT correspondence implies that a radiation dominated FLRW-universe (P = 1 3 ρ) should be given. According to the holographic renormalization procedure, we involve an appropriate surface counterterm into the gravitational action for achieving P = 1 3 ρ on brane. This surface counterterm also plays a important role in caculating the mass of charged AdS dilaton black hole. Finally, we obtain the thermodynamic quantities and give an extend Cardy-Verlinde formula on brane.

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“…Recently, D. Glavan and C. Lin have proposed in Ref. [43] a new 4dimensional gravitational model with second order equations of motion. In fact they have bypassed the Lovelock's theorem [7] by using a dimensional regularization in EGB model formulated in D > 4 with a Gauss-Bonnet coupling constant proportional to 1/(D − 4).The resulting four-dimensional theory appears as the limit D → 4.…”

Section: Introductionmentioning

confidence: 99%

Exact exponential cosmological solutions with two factor spaces of dimension m in EGB model with a Λ-term

Ivashchuk

Kobtsev

2019

Int. J. Geom. Methods Mod. Phys.

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A [Formula: see text]-dimensional Einstein–Gauss–Bonnet (EGB) model with the cosmological term [Formula: see text] is considered. We find a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters [Formula: see text] and [Formula: see text], corresponding to two factor spaces of dimension [Formula: see text] and obeying [Formula: see text]. We prove that the solutions, obeying [Formula: see text], are stable (in a class of cosmological solutions with diagonal metrics) for [Formula: see text] and they are unstable for [Formula: see text]. A subclass of solutions with small enough variation of the effective gravitational constant [Formula: see text] is considered. It is shown that all solutions from this subclass are stable.

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Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime

Cited by 610 publications

References 13 publications

Black holes in the four-dimensional Einstein-Lovelock gravity

Black holes in the four-dimensional Einstein-Lovelock gravity

Brane universe and holography in the spacetime of a charged AdS dilaton black hole

Exact exponential cosmological solutions with two factor spaces of dimension m in EGB model with a Λ-term

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