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We have obtained a new exact regular black hole solution for the EGB gravity coupled with nonlinear electrodynamics in AdS space. The numerical analysis of horizon structure suggests two horizons exist: Cauchy and event. We also study the…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Amit Kumar , Dharm Veer Singh , Yerlan Myrzakulov , Gulmira Yergaliyeva , Sudhaker Upadhyay

We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions…

High Energy Physics - Theory · Physics 2015-02-23 Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

We consider 5-dimensional Einstein-dilaton gravity with antisymmetric forms. Assuming staticity and a restriction on the dilaton coupling parameters, we derive 4-dimensional sigma-model with a target space $SL(2,R)/SO(1,1)\times…

High Energy Physics - Theory · Physics 2008-11-26 Stoytcho S. Yazadjiev

Low energy limits of a string theory suggest that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities. Einstein-Gauss-Bonnet is a natural extension of…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Sushant G. Ghosh

We establish various general results concerning static and spherically symmetric black hole solutions of general higher-derivative extensions of Einstein gravity. We prove that the only theories susceptible of admitting solutions with…

High Energy Physics - Theory · Physics 2017-08-16 Pablo Bueno , Pablo A. Cano

A general covariant Einstein-Gauss-Bonnet Gravity in Four-Dimensional (4D EGB) spacetime is shown to bypass Lovelock's theorem and is free from Ostrogradsky instability. Meanwhile, the bumblebee theory is a vector-tensor theory. It extends…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Misba Afrin , Sushant G. Ghosh , Anzhong Wang

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We study static black hole solutions in Einstein and Einstein-Gauss-Bonnet gravity with product two-spheres topology, ${\bf SO(n) \times SO(n)}$, in higher dimensions. There is an unusual new feature of Gauss-Bonnet black hole that the…

General Relativity and Quantum Cosmology · Physics 2014-12-22 Josep M. Pons , Naresh Dadhich

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

We study Einstein-Born-Infeld gravity and construct the dyonic (A)dS planar black holes in general even dimensions, that carry both the electric charge and magnetic fluxes along the planar space. In four dimensions, the solution can be…

High Energy Physics - Theory · Physics 2016-07-06 Shoulong Li , H. Lu , Hao Wei

In this Ph.D. dissertation we study the emergence of black-hole and wormhole solutions in the framework of the Einstein-scalar-Gauss-Bonnet (EsGB) theory. Particularly we study a family of theories where the coupling function $f(\phi)$…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Athanasios Bakopoulos

The five dimensional Einstein-Gauss-Bonnet gravity with a negative cosmological constant becomes, for a special value of the Gauss-Bonnet coupling constant, a Chern-Simons (CS) theory of gravity. In this work we discuss the properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yves Brihaye , Eugen Radu

We report on a numerical investigation of the stability of scalarized black holes in Einstein dilaton Gauss-Bonnet (EdGB) gravity in the full dynamical theory, though restricted to spherical symmetry. We find evidence that for sufficiently…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Justin L. Ripley , Frans Pretorius

Superpotentials (antisymmetric tensor densities) in Einstein-Gauss-Bonnet (EGB) gravity for arbitrary types of perturbations on arbitrary curved backgrounds are constructed. As a basis, the generalized conservation laws in the framework of…

General Relativity and Quantum Cosmology · Physics 2010-04-30 A. N. Petrov

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 investigate gravitational collapse of a spherically symmetric thin shell in the Einstein-Gauss-Bonnet (EGB) gravity. Under the recently proposed 4D limit, we find that the collapsing shell will be bounced back at a small radius, without…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Yong-Ming Huang , Yu Tian , Xiao-Ning Wu

This is a report of our recent investigation on the extremal dilatonic black holes in four dimensional Gauss-Bonnet gravity. We found that a global solution can exist only when the dilaton coupling is less than a critical value which can be…

High Energy Physics - Theory · Physics 2008-11-26 Chiang-Mei Chen

We investigate traversable wormhole solutions in four-dimensional Einstein-Gauss-Bonnet (EGB) gravity sourced by a smoothed string fluid. Originally proposed to model regular black holes, this energy density profile is adapted here to…

General Relativity and Quantum Cosmology · Physics 2026-01-19 C. R. Muniz , M. S. Cunha , L. C. N. Santos

Einstein-Gauss-Bonnet gravity (EGB) provides a natural higher dimensional and higher order curvature generalization of Einstein gravity. It contains a new, presumably microscopic, length scale that should affect short distance properties of…

General Relativity and Quantum Cosmology · Physics 2015-03-20 N. Deppe , C. D. Leonard , T. Taves , G. Kunstatter , R. B. Mann

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Pedro Bargueño , Elias C. Vagenas
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