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We consider the Einstein-scalar-Gauss-Bonnet theory and assume that, at regimes of large curvature, the Ricci scalar may be ignored compared to the quadratic Gauss-Bonnet term. We then look for static, spherically-symmetric, regular…

High Energy Physics - Theory · Physics 2020-02-19 Athanasios Bakopoulos , Panagiota Kanti , Nikolaos Pappas

We present spherically symmetric static solutions (a particle-like solution and a black hole solution) in the Einstein-Yang-Mills system with a cosmological constant.Although their gravitational structures are locally similar to those of…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Takashi Torii , Kei-ichi Maeda , Takashi Tachizawa

In this work, in the context of modified gravity, a curved spacetime analogous to the "canonical acoustic black hole" is constructed. The source is a self-interacting scalar field which is non-minimally coupled to gravity through the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Pedro Cañate , Joseph Sultana , Demosthenes Kazanas

Motivated by the future stability problem of solutions of the Einstein--Yang--Mills (EYM) system with arbitrary dimension, we aim to (1) construct a tensorial symmetric hyperbolic formulation for the $(n+1)$-dimensional EYM system in the…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Chao Liu , Jinhua Wang

We present a review of black holes and black string solutions available in the $d$-dimensional Einstein and Einstein-Maxwell model in the presence of a cosmological constant. Due to the cosmological constant, the equations do not admit…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Yves Brihaye

We consider the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss-Bonnet(GB)) interacting with the superposition of the first two members of the $SO_{(\pm)}(d)$ Yang--Mills hierarchy, in $d$…

High Energy Physics - Theory · Physics 2010-11-19 Y. Brihaye , A. Chakrabarti , D. H. Tchrakian

We consider vortex-type solutions in $d=5$ dimensions of the Einstein gravity coupled to a nonabelian SU(2) field posessing a nonzero electric part. After the dimensional reduction, this corresponds to a $d=4$…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Eugen Radu

We show that in Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and without a cosmological constant, one can explain the acceleration of the expanding Universe. We first introduce a solution of the Gauss-Bonnet gravity with…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

The exact solutions of Einstein - Yang - Mills and interacting with SO (3) - Yang-Mills field nonlinear scalar field equations in a class of spatially homogeneous cosmological Friedmann models are obtained.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. K. Shchigolev , M. V. Shchigolev

We establish the global existence and precise estimates of a class of singularity-free cosmological solutions in nonlinear Einstein-scalar-Gauss-Bonnet (ESGB) gravity with quadratic coupling, in close agreement with previous numerical…

Analysis of PDEs · Mathematics 2025-07-22 Chihang He , Chao Liu , Jinhua Wang

We develop solution-generating techniques for stationary metrics with one angular momentum and axial symmetry, in the presence of a cosmological constant and in arbitrary spacetime dimension. In parallel we study the related lower…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Christos Charmousis , David Langlois , Daniele Steer , Robin Zegers

We study the problem of asymptotically flat bi-axially symmetric stationary solutions of the vacuum Einstein equations in $5$-dimensional spacetime. In this setting, the cross section of any connected component of the event horizon is a…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We construct a five-dimensional singly rotating near-horizon solution in Einstein-Gauss-Bonnet gravity. We show that the Gauss-Bonnet term removes the local curvature singularity, yielding finite curvature invariants throughout the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 U. Can Çelik , Kamal Hajian , Jutta Kunz

Recently new Einstein-Yang-Mills (EYM) soliton solutions were presented which describe superconducting strings with Kasner asymptotic (hep-th/0610183). Here we study the static cylindrically symmetric SU(2) EYM system in more detail. The…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Gal'tsov , Evgeny A. Davydov

We construct a new class of stationary exact solutions to five-dimensional Einstein-Gauss-Bonnet gravity. The solutions are based on four-dimensional self-dual Atiyah-Hitchin geometry. We find analytical solutions to the five-dimensional…

High Energy Physics - Theory · Physics 2019-07-22 Michael Butler , Masoud Ghezelbash , Erfan Massaeli , Maysam Motaharfar

We discuss solution generating techniques treating stationary and axially symmetric metrics in the presence of a cosmological constant. Using the recently found extended form of Ernst's complex equation, which takes into account the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christos Charmousis

We investigate a flat anisotropic (5+1)-dimensional cosmological model in the presence of the Gauss-Bonnet (GB) contribution in addition to usual Einstein term in the action. We compared it with (4+1)-dimensional case and found a…

General Relativity and Quantum Cosmology · Physics 2009-04-17 S. A. Pavluchenko , A. V. Toporensky

We solve vacuum Einstein's field equations with the cosmological constant in space-times admitting 3-parameter group of isometries with 2-dimensional space-like orbits. The general exact solutions, which are represented in the advanced and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chih-Hung Wang , Hing-Tong Cho , Yu-Huei Wu

It is generically believed that higher-order curvature corrections to the Einstein-Hilbert action might cure the curvature singularities that plague general relativity. Here we consider Einstein-scalar-Gauss-Bonnet gravity, the only…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Laura Sberna , Paolo Pani

We construct both regular and black hole spherically symmetric solutions to the original higher curvature EYM model augmented by a Grassmannian sigma model field in $d=5$ spacetime dimensions. Unlike the original model, the new model…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Eugen Radu , D. H. Tchrakian