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This article provides a discussion on the construction of conformal Gaussian gauge systems to study the evolution of solutions to the Einstein field equations with positive Cosmological constant. This is done by means of a gauge based on…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Marica Minucci

We construct an intersecting brane configuration in six-dimensional space with one extra space-like and one extra time-like dimensions. With a certain additional symmetry imposed on the extra space-time we have found that effective…

High Energy Physics - Theory · Physics 2009-11-07 Z. Berezhiani , M. Chaichian , A. B. Kobakhidze , Z. -H. Yu

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Takuya Maki , Kiyoshi Shiraishi

Motivated by the dark energy issue, a minisuperspace approach to the stability for modified gravitational models in a four dimensional cosmological setting are investigated. Specifically, after revisiting the $f(R)$ case, $R$ being the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Guido Cognola , Monica Gastaldi , Sergio Zerbini

The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. D. Dzhunushaliev

We construct slowly rotating black-hole solutions of Einsteinian cubic gravity (ECG) in four dimensions with flat and AdS asymptotes. At leading order in the rotation parameter, the only modification with respect to the static case is the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Connor Adair , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term Lambda is considered. Assuming diagonal cosmological metrics, we find, for certain non-zero Lambda new examples of solutions with an exponential time…

General Relativity and Quantum Cosmology · Physics 2016-12-28 V. D. Ivashchuk

In the macroscopic gravity approach to the averaging problem in cosmology, the Einstein field equations on cosmological scales are modified by appropriate gravitational correlation terms. We present exact cosmological solutions to the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. A. Coley , N. Pelavas , R. M. Zalaletdinov

We present a new two-parameter family of solutions of Einstein gravity with negative cosmological constant in 2+1 dimensions. These solutions are obtained by squashing the anti-de Sitter geometry along one direction and posses four Killing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eugen Radu

We study inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold under dimensional reduction. Stability due to different types of effective potentials is analyzed for specific configurations of…

General Relativity and Quantum Cosmology · Physics 2011-04-15 U. Guenther , A. Zhuk

The classification of certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is presented. The spacelike section of the class of metrics under consideration is a warped product of the real line with a nontrivial…

High Energy Physics - Theory · Physics 2009-04-24 Gustavo Dotti , Julio Oliva , Ricardo Troncoso

We survey some results on scalar curvature and properties of solutions to the Einstein constraint equations. Topics include an extended discussion of asymptotically flat solutions to the constraint equations, including recent results on the…

Differential Geometry · Mathematics 2011-02-25 Justin Corvino , Daniel Pollack

Warped configurations admitting pairs of gravitating defects are analyzed. After devising a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity. The…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Giovannini

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Hamid R. Bakhtiarizadeh

We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic flatness, where black holes do not exist and a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. de Berredo-Peixoto

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

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

Numerical solutions to the Einstein constraint equations are constructed on a selection of compact orientable three-dimensional manifolds with non-trivial topologies. A simple constant mean curvature solution and a somewhat more complicated…

General Relativity and Quantum Cosmology · Physics 2022-10-27 Fan Zhang , Lee Lindblom

By rescaling the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow \alpha/(D-4)$ and considering the $D \rightarrow 4$ limit, the GB gravity gives rise to nontrivial modification of general relativity in four dimensions. In this work,…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Shou-Long Li , Puxun Wu , Hongwei Yu