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We study asymptotically AdS topological black hole solutions with k=0 (plane symmetric) in the Einstein gravity with Gauss-Bonnet term, the dilaton and a "cosmological constant" in various dimensions. We derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

We study the Hamiltonian dynamics of a five-dimensional Chern-Simons theory for the gauge algebra $C_5$ of Izaurieta, Rodriguez and Salgado, the so-called S$_H$-expansion of the 5D (anti-)de Sitter algebra (a)ds, based on the cyclic group…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Matheus M. A. Paixão , Olivier Piguet

In this paper, in an FLRW background and a perfect fluid equation of state, we explore the possibility of the realization of an emergent scenario in a 4D regularized extension of Einstein-Gauss-Bonnet gravity, with the field equations…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Mrinnoy M. Gohain , Kalyan Bhuyan

We find and analyse solutions of Einstein's equations in arbitrary d dimensions and in the presence of a scalar field with a Liouville potential coupled to a Maxwell field. We consider spacetimes of cylindrical symmetry or again subspaces…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Christos Charmousis , Blaise Goutéraux , Jiro Soda

We consider curvature-squared corrections to Einstein-Hilbert gravity action in the form of Gauss-Bonnet term in D>4 dimensions. In this theory, we study the thermodynamics of charged static black holes with anti-de Sitter (AdS)…

High Energy Physics - Theory · Physics 2011-03-22 Olivera Miskovic , Rodrigo Olea

In recent years, there has been a growing interest in stellar modelling in the framework of Einstein-Gauss-Bonnet gravity. In this paper, for a relativistic star in static equilibrium, we invoke the $5$ dimensional Einstein-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-06-22 Soumik Bhattacharya , Suntharalingam Thirukkanesh , Ranjan Sharma

We consider a 5-dimensional Chern-Simons gauge theory for the isometry group of Anti-de-Sitter spacetime, $\operatorname{AdS}_{4+1}\simeq\operatorname{SO}(4,2)$, and invoke different dimensional reduction schemes in order to relate it to…

General Relativity and Quantum Cosmology · Physics 2018-12-18 N. L. González Albornoz , Dieter Lust , S. Salgado , Angnis Schmidt-May

In this paper, we analyze the viability of a vacuum Gauss-Bonnet cosmology by examining the dynamics of the homogeneous and anisotropic background in 4+1 dimensions. The trajectories of the system either originate from the standard…

High Energy Physics - Theory · Physics 2008-11-26 R. Chingangbam , M. Sami , P. V. Tretyakov , A. V. Toporensky

We present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson--(anti)-de Sitter ((A)dS) metrics,…

High Energy Physics - Theory · Physics 2008-11-26 R. Clarkson , R. B. Mann

A static wormhole solution for gravity in vacuum is found for odd dimensions greater than four. In five dimensions the gravitational theory considered is described by the Einstein-Gauss-Bonnet action where the coupling of the quadratic term…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Dotti , Julio Oliva , Ricardo Troncoso

In this paper, we treat 4-dimensional Einstein-Gauss-Bonnet gravity as general relativity with an effective stress-energy tensor. We will study the modified Oppenheimer-Snyder-Datt model of the gravitational collapse of a star in a…

General Relativity and Quantum Cosmology · Physics 2023-02-22 R. Hassannejad , A. Sadeghi , F. Shojai

In gravitational theories with extra dimensions, it is argued that the existence of a positive vacuum energy generically implies catastrophic instability of our four-dimensional world. The most generic instability is a decompactification…

High Energy Physics - Theory · Physics 2009-11-10 Steven B. Giddings

An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Marcus Khuri , Gilbert Weinstein , Sumio Yamada

Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on…

General Relativity and Quantum Cosmology · Physics 2010-01-19 C. Garraffo , G. Giribet , E. Gravanis , S. Willison

In the Einstein gravity, it is well-known that strictly stationary and vacuum regular spacetime should be the Minkowski spacetime. In the Einstein-Gauss-Bonnet theory, we shall show the similar statement, that is, strictly static(no event…

General Relativity and Quantum Cosmology · Physics 2015-10-30 Tetsuya Shiromizu , Seiju Ohashi

We investigate the effect of higher-order curvature terms, specifically Gauss-Bonnet terms, on spacetime singularities in five dimensions. For FLRW cosmologies, we demonstrate that Gauss-Bonnet terms can replace the Big Bang/Crunch with a…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Tariq Allaithy , Adel Awad , Mohamed Hany Radwan , Mohsen Zahran

We determine the most general solution of the five-dimensional vacuum Einstein equation, allowing for a cosmological constant, with (i) a Weyl tensor that is type II or more special in the classification of Coley et al., (ii) a…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Gabriel Bernardi de Freitas , Mahdi Godazgar , Harvey S. Reall

Despite the nice geometrical properties of higher dimensional Chern-Simons (CS) supergravity theories these actions suffer from one major drawback, namely, their connection with the real world. After some quick remarks on three-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Banados

We consider a particular example of dynamical compactification of an anisotropic 7+1 dimensional Universe in Einstein - Gauss - Bonnet gravity. Starting from rather general totally anisotropic initial conditions a Universe in question…

General Relativity and Quantum Cosmology · Physics 2020-04-02 Dmitry Chirkov , Alex Giacomini , Alexey Toporensky

In a 5-dimensional spacetime ($M,g_{ab}$) with a Killing vector field $\xi ^a$ which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of $\xi ^a$ gives a 4-dimensional space $S$. The reduction of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Xuejun Yang , Yongge Ma , Jianbing Shao , Wei Zhou
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