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Higher dimensional solutions are obtained for a homogeneous, spatially isotropic cosmological model in Wesson theory of gravitation. Some cosmological parameter are also calculated for this model.

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. S. Khadekar , Shilpa Samdurkar

We show how generic off--diagonal cosmological solutions depending, in general, on all spacetime coordinates can be constructed in massive gravity using the anholonomic frame deformation method. Such metrics describe the late time…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Sergiu I. Vacaru

The past few years have seen dramatic breakthroughs and spectacular and puzzling discoveries in astrophysics and cosmology. In many cases, the new observations can only be explained with the introduction of new fundamental physics. Here we…

High Energy Physics - Phenomenology · Physics 2010-12-09 Daniel S. Akerib , Sean M. Carroll , Marc Kamionkowski , Steven Ritz

Questions such as whether we live in a spatially finite universe, and what its shape and size may be, are among the fundamental open problems that high precision modern cosmology needs to resolve. These questions go beyond the scope of…

Astrophysics · Physics 2007-05-23 M. J. Reboucas , G. I. Gomero

In this work we extend the first order formalism for cosmological models that present an interaction between a fermionic and a scalar field. Cosmological exact solutions describing universes filled with interacting dark energy and dark…

General Relativity and Quantum Cosmology · Physics 2012-11-22 A. B. Pavan , Elisa G. M. Ferreira , Sandro M. R. Micheletti , J. C. C. de Souza , E. Abdalla

We investigate the space-time of a global monopole in a five dimensional space-time in presence of the cosmological term. Also the gravitational properties of the monopole solution are discussed.

General Relativity and Quantum Cosmology · Physics 2009-09-01 F. Rahaman , P. Ghosh , M. Kalam , K. Gayen

A nonlocal gravity model (2.1) was introduced and considered recently [49], and two exact cosmological solutions in flat space were presented. The first solution is related to some radiation effects generated by nonlocal dynamics on dark…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Ivan Dimitrijevic , Branko Dragovich , Zoran Rakic , Jelena Stankovic

We review some modified gravity models which describe the gravitational dark energy and the possibility of cosmic speed-up. The new consistent version of such theory which contains inverse and HD curvature terms as well as new type of…

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

The work consists of solutions of metric problems for convex and finite subsets of geodesic spaces.

Metric Geometry · Mathematics 2010-11-30 Evgenii N. Sosov

In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit…

General Relativity and Quantum Cosmology · Physics 2014-11-18 T. R. P. Caramês , E. R. Bezerra de Mello

New nondiagonal $G_{2}$ inhomogeneous cosmological solutions are presented in a wide range of scalar-tensor theories with a stiff perfect fluid as a matter source. The solutions have no big-bang singularity or any other curvature…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Stoytcho S. Yazadjiev

We show that the equations underlying the $GW$ approximation have a large number of solutions. This raises the question: which is the physical solution? We provide two theorems which explain why the methods currently in use do, in fact,…

Strongly Correlated Electrons · Physics 2015-09-16 F. Tandetzky , J. K. Dewhurst , S. Sharma , E. K. U. Gross

A homogeneous and isotropic model of the Universe is considered in the framework of the five-dimensional Projective Unified Field Theory in which the gravitation is described by both space-time curvature and some hypothetical scalar field…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Blinkouski , A. K. Gorbatsievich

The discovery of universe's late-time acceleration and dark energy has overseen a great deal of research into cosmological singularities and in this brief review, we discuss all the prominent developments in this field for the best part of…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Oem Trivedi

The aim of this review is to discuss the ways to obtain results based on gravity with higher derivatives in D-dimensional world. We considered the following ways: (1) reduction to scalar tensor gravity, (2) direct solution of the equations…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Sergey G. Rubin , Arkadiy Popov , P. M. Petryakova

Main results of our recent investigations on five-dimensional scenarios of massive (bi-)gravity will be summarized in this article. In particular, we will show how to construct higher dimensional massive graviton terms from the…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Tuan Q. Do

We propose a new reconstruction method for scalar--tensor gravity based on the use of conformal transformations. The new method allows the derivation of a set of interesting exact cosmological solutions in brans Dicke gravity as well as…

General Relativity and Quantum Cosmology · Physics 2013-11-26 Stefano Vignolo , Sante Carloni , Francesco Vietri

We find exact solutions of topologically massive gravity (TMG) and new massive gravity (NMG) in ${2+1}$ dimensions (3D) with an arbitrary cosmological constant, pure radiation, and gyratons, i.e., with possibly non-zero $T_{uu}$ and…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Ercan Kilicarslan , Ivan Kolář

This article gives an overview, aimed at theoretical particle physicists, of some recent developments in cosmology.

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrew R Liddle

We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological "constant" that is a specific…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bahram Mashhoon , Paul Wesson