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We attempt to clarify several aspects concerning the recently presented four-dimensional Einstein-Gauss-Bonnet gravity. We argue that the limiting procedure outlined in [Phys. Rev. Lett. 124, 081301 (2020)] generally involves ill-defined…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Julio Arrechea , Adrià Delhom , Alejandro Jiménez-Cano

We obtain a black hole solution in the Einstein-Gauss-Bonnet theory for the string cloud model in a five dimensional spacetime. We analyze the event horizons and naked singularities. Later, we compute the Hawking temperature…

High Energy Physics - Theory · Physics 2016-08-14 Estanislao Herscovich , Martín G. Richarte

Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background. This theory allows the existence of a static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Antonio De Felice , Shinji Tsujikawa

We construct, for the first time, charged rotating black string solutions in four-dimensional Einsteinian cubic gravity, which are asymptotically anti de Sitter. By assuming that the solutions are completely regular at the horizon and…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Hamid R. Bakhtiarizadeh

Higher dimensional Gauss-Bonnet gravity can be particularized to a four dimensional case either using the Glavan, D. and Lin, C. type \cite{glavan2020einstein} limiting method or by the Hordenski type \cite{gurses2007gauss} metric…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ritabrata Biswas , Satyajit Pal

We conduct a preliminary investigation into the phenomenological implications of Einsteinian cubic gravity (ECG), a 4-dimensional theory of gravity cubic in curvature of interest for its unique formulation and properties. We find an…

General Relativity and Quantum Cosmology · Physics 2018-04-13 Robie A. Hennigar , Mohammad Bagher Jahani Poshteh , Robert B. Mann

General Einstein-Gauss-Bonnet gravity with a cosmological constant allows two (A)dS spacetimes as its vacuum solutions. We find a critical point in the parameter space where the two (A)dS spacetimes coalesce into one and the linearized…

High Energy Physics - Theory · Physics 2016-11-03 Zhong-Ying Fan , Bin Chen , Hong Lu

It is generally believed that coupling the graviton (a classical Fierz-Pauli massless spin-2 field) to its own energy-momentum tensor successfully recreates the dynamics of the Einstein field equations order by order; however the validity…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Luke M. Butcher , Michael Hobson , Anthony Lasenby

In modified theories of gravity, higher curvature terms may be added to the Einstein-Hilbert action. Conventionally, the effects of the higher curvature terms on the black hole thermodynamics are rather difficult to obtain. In this paper,…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Yong Xiao

We consider the low-energy effective action of string theory at order $\alpha '$, including $R^2$-corrections to the Einstein-Hilbert gravitational action and non-trivial dilaton coupling. By means of a convenient field redefinition, we…

High Energy Physics - Theory · Physics 2023-04-19 Felipe Agurto-Sepúlveda , Mariano Chernicoff , Gaston Giribet , Julio Oliva , Marcelo Oyarzo

We study the characteristic structure of the Einstein-Hilbert (EH) action when modifications of the form of $R^2,~ R_{\mu\nu}^2$, $R_{\mu\nu\rho\sigma}^2$ and $C_{\mu\nu\rho\sigma}^2$ are included. We show that when these quadratic terms…

General Relativity and Quantum Cosmology · Physics 2019-06-07 Yotam Sherf

In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the…

High Energy Physics - Theory · Physics 2021-10-27 Debabrata Ghorai , Sunandan Gangopadhyay

We review the status of the fourth-order (quartic in the spacetime curvature) terms induced by superstrings/M-theory (compactified on a warped torus) in the leading order with respect to the Regge slope parameter, and study their…

High Energy Physics - Theory · Physics 2009-12-17 Masao Iihoshi , Sergei V. Ketov

In this paper we investigate the cosmological effects of modified gravity with string curvature corrections added to Einstein-Hilbert action in the presence of a dynamically evolving scalar field coupled to Riemann invariants. The scenario…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov , M. Sami

Einstein-Maxwell-Gauss-Bonnet-axion theory in $4$-dimensional spacetime is investigated in this paper through a "Kaluza-Klein-like" process. Dual to systems at finite temperature with background magnetic field on three dimensions, the…

High Energy Physics - Theory · Physics 2021-05-04 Yi-Li Wang , Xian-Hui Ge

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Maeda , Naresh Dadhich

We introduce an effective action smoothly extending the standard Einstein-Hilbert action to include un-gravity effects. The improved field equations are solved for the un-graviton corrected Schwarzschild geometry reproducing the Mureika…

High Energy Physics - Phenomenology · Physics 2010-12-09 Patricio Gaete , José A. Helayel-Neto , Euro Spallucci

The field equations of general relativity can be derived from the Einstein action, which is quadratic in connection coefficients, rather than the standard action involving the Gibbons-Hawking-York term and counterterm. We show that it is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Martin Krššák

In this thesis, we wish to examine the black-hole solutions of modified gravity theories inspired by String Theory or Cosmology. Namely, these modifications will take the guise of additional gauge and scalar fields for the so-called…

High Energy Physics - Theory · Physics 2010-11-29 B. Goutéraux

We propose a procedure for the $D\rightarrow 4$ limit of Einstein-Gauss-Bonnet (EGB) gravity that leads to a well defined action principle in four dimensions. Our construction is based on compactifying $D$-dimensional EGB gravity on a…

General Relativity and Quantum Cosmology · Physics 2020-09-03 H. Lu , Yi Pang
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