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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. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

广义相对论与量子宇宙学 · 物理学 2020-09-21 R. A. Konoplya , A. Zhidenko

A (3+1)-dimensional Einstein-Gauss-Bonnet effective description of gravity has been recently formulated as the $D \to 4$ limit of the higher dimensional field equations after the rescaling of the coupling constant. This approach has been…

广义相对论与量子宇宙学 · 物理学 2020-08-11 R. A. Konoplya , A. Zhidenko

We consider the $D\to 3$ limit of Gauss-Bonnet gravity. We find two distinct but similar versions of the theory and obtain black hole solutions for each. For one theory the solution is an interesting generalization of the BTZ black hole…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Robie A. Hennigar , David Kubiznak , Robert B. Mann , Christopher Pollack

In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory in dimension $D=4+p$, being $p\geq1$. The compactification is performed on a…

高能物理 - 理论 · 物理学 2021-08-18 Fabrizio Canfora , Adolfo Cisterna , Sebastian Fuenzalida , Carla Henriquez-Baez , Julio Oliva

A `novel' pure theory of Einstein-Gauss-Bonnet gravity in four-spacetime dimensions can be constructed by rescaling the Gauss-Bonnet coupling constant, seemingly eluding Lovelock's theorem. Recently, however, the well-posedness of this…

高能物理 - 理论 · 物理学 2020-10-14 Damien A. Easson , Tucker Manton , Andrew Svesko

We obtain rotating black hole solutions to the novel 3D Gauss-Bonnet theory of gravity recently proposed. These solutions generalize the BTZ metric and are not of constant curvature. They possess an ergoregion and outer horizon, but do not…

广义相对论与量子宇宙学 · 物理学 2021-02-03 Robie A. Hennigar , David Kubiznak , Robert B. Mann

Among various strong-curvature extensions to General Relativity, Einstein-Dilaton-Gauss-Bonnet gravity stands out as the only nontrivial theory containing quadratic curvature corrections while being free from the Ostrogradsky instability to…

广义相对论与量子宇宙学 · 物理学 2018-03-05 Andrea Maselli , Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

The Ba\~nados-Teitelboim-Zanelli (BTZ) black hole metric solves the three-dimensional Einstein's theory with a negative cosmological constant as well as all the generic higher derivative gravity theories based on the metric; as such it is a…

高能物理 - 理论 · 物理学 2019-10-02 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

The regularized four-dimensional Einstein-Gauss-Bonnet model has been recently proposed in [D. Glavan and C. Lin, Phys. Rev. Lett. \textbf{124}, 081301 (2020)] whose formulation is different of the Einstein theory, allowing us to bypass the…

广义相对论与量子宇宙学 · 物理学 2021-02-26 M. A. Cuyubamba

Recently a $D$-dimensional regularization approach leading to the non-trivial $(3+1)$-dimensional Einstein-Gauss-Bonnet (EGB) effective description of gravity was formulated which was claimed to bypass the Lovelock's theorem and avoid…

广义相对论与量子宇宙学 · 物理学 2020-11-16 R. A. Konoplya , A. F. Zinhailo

In this paper, by means of regularisation procedure via $r\to \sqrt{r^2+l_0^2}$ (where $l_0$ can play the role of zero point length), we first modify the gravitational and electromagnetic potentials in two dimensions and then we solve the…

广义相对论与量子宇宙学 · 物理学 2022-09-12 Kimet Jusufi

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…

广义相对论与量子宇宙学 · 物理学 2020-07-13 R. A. Konoplya , A. Zhidenko

The main interest of the work exposed in this thesis is to explore hairy black holes in a more general framework than General Relativity by taking into account the presence of a cosmological constant, of higher dimensions, of exotic matter…

广义相对论与量子宇宙学 · 物理学 2012-11-02 Yannis Bardoux

We propose a regularization procedure for the novel Einstein-Gauss-Bonnet theory of gravity, which produces a set of field equations that can be written in closed form in four dimensions. Our method consists of introducing a counter term…

广义相对论与量子宇宙学 · 物理学 2020-07-07 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

Recently, there has been significant interest regarding the regularization of a $D\rightarrow 4$ limit of Einstein-Gauss-Bonnet (EGB) gravity. This regularization involves re-scaling the Gauss-Bonnet (GB) coupling constant as…

广义相对论与量子宇宙学 · 物理学 2024-08-14 Zinnat Hassan , P. K. Sahoo

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

广义相对论与量子宇宙学 · 物理学 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

We revisit the spherically symmetric third order Lovelock black hole solution in 7-dimensions. We show that the general solution for the metric function does not admit the Gauss-Bonnet (GB) limit. This is not expected due to the linear…

广义相对论与量子宇宙学 · 物理学 2013-11-21 Z. Amirabi

Lovelock theory is a natural extension of Einstein theory of gravity to higher dimensions, and it is of great interest in theoretical physics as it describes a wide class of models. In particular, it describes string theory inspired…

广义相对论与量子宇宙学 · 物理学 2009-08-19 Cecilia Garraffo , Gaston Giribet

Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein-Gauss-Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term…

广义相对论与量子宇宙学 · 物理学 2020-12-30 Rahul Kumar , Shafqat Ul Islam , Sushant G. Ghosh

Generalizations of the Schwarzschild and Kerr black holes are discussed in an astrophysically viable generalized theory of gravity, which includes higher curvature corrections in the form of the Gauss-Bonnet term, coupled to a dilaton. The…

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