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Related papers: Lower-dimensional Limits of Cubic Lovelock Gravity

200 papers

Since the recent derivation of a well-defined $D\rightarrow 4$ limit for regularized 4D Einstein Gauss-Bonnet (4DEGB) gravity, there has been considerable interest in testing it as an alternative to Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Michael Gammon , Robert Mann

It is well known that the vacuum in the Einstein gravity, which is linear in the Riemann curvature, is trivial in the critical (2+1=3) dimension because vacuum solution is flat. It turns out that this is true in general for any odd critical…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Naresh Dadhich , Sushant G. Ghosh , Sanjay Jhingan

In this paper we study the properties of Kasner cosmological solutions in Lovelock gravity. Recent progress in the investigation of flat cosmological models in Lovelock gravity unveiled the fact that in quadratic (Gauss--Bonnet) and cubic…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Sergey Pavluchenko

We derive new rotating, non-asymptotically flat black ring solutions in five-dimensional Einstein-Maxwell-dilaton gravity with dilaton coupling constant $\alpha=\sqrt{8/3}$ which arises from a six-dimensional Kaluza-Klein theory. As a…

High Energy Physics - Theory · Physics 2009-11-11 Stoytcho S. Yazadjiev

The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless it is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Anderson Ilha , Antares Kleber , Jose' P. S. Lemos

We drastically simplify the problem of linearizing a general higher-order theory of gravity. We reduce it to the evaluation of its Lagrangian on a particular Riemann tensor depending on two parameters, and the computation of two derivatives…

High Energy Physics - Theory · Physics 2016-11-09 Pablo Bueno , Pablo A. Cano

Starting from a generalised Kaluza-Klein action including arbitrary Horndeski potentials, we establish integrability and compatibility conditions that solve the generic field equations for spherical symmetry. The resulting theories can be…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur

We analyse the STU sectors of the four-dimensional maximal gauged supergravities with gauge groups ${\rm SO(8)}$, ${\rm SO(6)}\ltimes\mathbb{R}^{12}$ and $[{\rm SO(6)}\times{\rm SO(2)}]\ltimes\mathbb{R}^{12}$, and construct new domain-wall…

High Energy Physics - Theory · Physics 2024-03-06 Gabriel Larios , Christopher N. Pope , Haoyu Zhang

In this paper, we present a remarkably simple expression for the exact solution to the $D = 5$, $\mathcal{N} = 2$ supergravity coupled to three vector multiplets with the prepotential $\mathcal{V} = STU -W^2U \equiv 1$, which represents a…

High Energy Physics - Theory · Physics 2026-05-20 Di Wu , Shuang-Qing Wu

In this work, the analysis of some new static black hole solutions of Lovelock gravity with nonconstant curvature transverse section is presented. It will be shown that the finiteness of the charges and the action principle rely on the…

General Relativity and Quantum Cosmology · Physics 2024-05-15 R. Aros , Milko Estrada

Quantum gravitational corrections to black holes are studied in four and higher dimensions using a renormalisation group improvement of the metric. The quantum effects are worked out in detail for asymptotically safe gravity, where the…

High Energy Physics - Theory · Physics 2012-03-05 Kevin Falls , Daniel F. Litim , Aarti Raghuraman

This paper is devoted to the study of the constraint equations of the Lovelock gravity theories. In the case of an empty, compact, conformally flat, time-symmetric, and space-like manifold, we show that the Hamiltonian constraint equation…

Mathematical Physics · Physics 2018-07-11 Xavier Lachaume

We present the explicit form for all the four dimensional, static, spherically symmetric solutions in $(4+n)$-d Abelian Kaluza-Klein theory by performing a subset of $SO(2,n)$ transformations corresponding to four $SO(1,1)$ boosts on the…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Donam Youm

Critical gravity is a quadratic curvature gravity in four dimensions which is ghost-free around the AdS background. Constructing a Vaidya-type exact solution, we show that the area of a black hole defined by a future outer trapping horizon…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Hideki Maeda , Robert Svarc , Jiri Podolsky

We obtain new five-dimensional supersymmetric rotating multi-Kaluza-Klein black hole solutions with the Godel parameter in the Einstein-Maxwell system with a Chern-Simons term. These solutions have no closed timelike curve outside the black…

High Energy Physics - Theory · Physics 2011-06-02 Ken Matsuno , Hideki Ishihara , Toshiharu Nakagawa , Shinya Tomizawa

The Klein-Gordon equation is solved for di-Holeums (gravitational bound states of two micro black holes) for scalar and vector gravity in its static limit. The relativistic models confirm the predictions of the nonrelativistic Newtonian…

General Physics · Physics 2014-02-14 A. L. Chavda , L. K. Chavda

We derive electrically charged black hole solutions of the Einstein-Gauss-Bonnet equations with a nonlinear electrodynamics source in $n (\ge 5)$ dimensions. The spacetimes are given as a warped product $M^2 \times K^{n-2}$, where $K^{n-2}$…

General Relativity and Quantum Cosmology · Physics 2009-08-03 Hideki Maeda , Mokhtar Hassaine , Cristian Martinez

Lovelock gravity in $D$-dimensional space-times is considered adopting Cartan's structure equations. In this context, we find out exact solutions in cosmological and spherically symmetric backgrounds. In the latter case, we also derive…

General Relativity and Quantum Cosmology · Physics 2021-12-02 Francesco Bajardi , Daniele Vernieri , Salvatore Capozziello

We study slowly rotating black hole solutions in the six independent theories of Einstein Quartic Gravity (EQG) in four dimensions. Unlike in the static case for which all six theories yield the same solution, for rotating black holes we…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Gareth Arturo Marks , Robert B. Mann , Damian Sheppard

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi