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Multidimensional cosmological model with static internal spaces describing the evolution of an Einstein space of non-zero curvature and n internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Grebeniuk , V. D. Ivashchuk , V. N. Melnikov

Theoretical and observational challenges to standard cosmology such as the cosmological constant problem and tensions between cosmological model parameters inferred from different observations motivate the development and search of new…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-30 Lucas Lombriser

Centre manifold theory is applied to some dynamical systems arising from spatially homogeneous cosmological models. Detailed information is obtained concerning the late-time behaviour of solutions of the Einstein equations of Bianchi type…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Alan D. Rendall

The reduction of 4D Einstein gravity with $N$ minimal scalars leads to specific 2D dilaton gravity with dilaton coupled scalars. Applying s-wave and large $N$ approximation (where large $N$ quantum contribution due to dilaton itself is…

High Energy Physics - Theory · Physics 2009-09-17 Tomoko Kadoyoshi , Shin'ichi Nojiri , Sergei D. Odintsov

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 mechanism for addressing the cosmological constant problem based on global constraints arising from a lapse function in a higher-dimensional gravitational theory. Inspired by Horava-Lifshitz gravity, we consider a 5d…

High Energy Physics - Theory · Physics 2026-04-13 Justin Khoury , Benjamin Muntz , Antonio Padilla

We solve the Ricci-flat equations of extended general relativity to obtain an interesting class of cosmological models. The solutions are analogous to the 4D ones of Bianchi type-I of Kasner type and have significant implications for…

General Relativity and Quantum Cosmology · Physics 2008-12-18 J. Ponce de Leon , P. S. Wesson

The gravitational properties of the {\em only} static plane-symmetric vacuum solution of Einstein's field equations without cosmological term (Taub's solution, for brevity) are presented: some already known properties (geodesics, weak field…

General Relativity and Quantum Cosmology · Physics 2016-08-31 M. L. Bedran , M. O. Calvao , I. Damiao Soares , F. M. Paiva

The timescape cosmology represents a potentially viable alternative to the standard homogeneous cosmology, without the need for dark energy. Although average cosmic evolution in the timescape scenario only differs substantially from that of…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-12 James A. G. Duley , M. Ahsan Nazer , David L. Wiltshire

We review some old and new results about strict and non strict hyperbolic formulations of the Einstein equations.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yvonne Choquet-Bruhat , James W. York

In a higher-order modified teleparallel theory cosmological we present analytical cosmological solutions. In particular we determine forms of the unknown potential which drives the scalar field such that the field equations form a Liouville…

General Relativity and Quantum Cosmology · Physics 2018-06-11 L. Karpathopoulos , S. Basilakos , G. Leon , A. Paliathanasis , M. Tsamparlis

We consider $(1+ 8)$- and $(1+10)$-dimensional Einstein-Gauss-Bonnet models with the cosmological $\Lambda$-term. Some new examples of exact solutions with three constant Hubble-like parameters in this model are obtained, governed by three…

General Relativity and Quantum Cosmology · Physics 2022-12-07 K. K. Ernazarov

The infinite cosmological "constant" limit of the de Sitter solutions to Einstein's equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Aldrovandi , J. P. Beltran Almeida , J. G. Pereira

We construct new charged solutions of the Einstein-Maxwell field equations with cosmological constant. These solutions describe the nut-charged generalisation of the higher dimensional Reissner-Nordstr\"{o}m spacetimes. For a negative…

High Energy Physics - Theory · Physics 2007-05-23 Robert B. Mann , Cristian Stelea

In this paper we propose that the accelerating expansion of the present matter-dominated universe, as suggested by the recent distance measurements of type Ia supernovae, is generated along with the evolution of space in extra dimensions.…

Astrophysics · Physics 2009-11-07 Je-An Gu , W-Y. P. Hwang

We consider a multidimensional universe with the topology $M= \R\times M_1\times \cdots \times M_n$, where the $M_i$ ($i>1$) are $d_i$-dimensional Ricci flat spaces. Exploiting a conformal equivalence between minimal coupling models and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 U. Bleyer , M. Rainer , A. Zhuk

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We use strongly gravitationally lensed (SGL) systems to put additional constraints on a set of holographic dark energy models. Data available in the literature (redshift and velocity dispersion) is used to obtain the Einstein radius and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Victor H. Cardenas , Alexander Bonilla , Veronica Motta , Sergio del Campo

We consider the evolution of relativistic perturbations in the Einstein-de Sitter cosmological model, including second-order effects. The perturbations are considered in two different settings: the widely used synchronous gauge and the…

Astrophysics · Physics 2009-10-30 S. Matarrese , S. Mollerach , M. Bruni

Oscillating moduli fields can support a cosmological scaling solution in the presence of a perfect fluid when the scalar field potential satisfies appropriate conditions. We examine when such conditions arise in higher-dimensional,…

High Energy Physics - Theory · Physics 2008-11-26 James E. Lidsey , Karim A. Malik