Cosmological solutions from induced matter model applied to 5D $$f(R,T)$$f(R,T) gravity and the shrinking of the extra coordinate

  title={Cosmological solutions from induced matter model applied to 5D \$\$f(R,T)\$\$f(R,T) gravity and the shrinking of the extra coordinate},
  author={P. H. R. S. Moraes},
  journal={The European Physical Journal C},
  • P. Moraes
  • Published 9 February 2015
  • Physics
  • The European Physical Journal C
In this work, I present exact cosmological solutions from Wesson’s induced matter model applied to a general 5D metric in $$f(R,T)$$f(R,T) theory of gravity. The non-conservation of the energy-momentum tensor, predicted by $$f(R,T)$$f(R,T) theory, allows the derivation of a relation that describes the time evolution of the extra coordinate, revealing its compactification. It is shown that such a compactification could induce the effects of an accelerated expansion in the observable universe. 

Braneworld cosmology in f(R,T)$f(R,T)$ gravity

Braneworld scenarios consider our observable universe as a brane embedded in a 5D space, named bulk. In this work, we derive the field equations of a braneworld model in a generalized gravitational

A complete cosmological scenario from $$f(R,T^{\phi })$$f(R,Tϕ) gravity theory

Recent elaborated by Harko et al., the f(R, T) theories of gravity allow one to contemplate an optimistic alternative to dark energy, for which R and T stand for the Ricci scalar and the trace of the

Cosmology in scalar-tensor $f(R,T)$ gravity

In this work, we use reconstruction methods to obtain cosmological solutions in the recently developed scalar-tensor representation of f ( R, T ) gravity. Assuming that matter is described by an

Configurational entropy in $$f\,(R,T\,)$$f(R,T) brane models

It is argued that the CE measure can play a new role and might be an important additional approach to selecting parameters in modified theories of gravitation.

Compact stars in $$f(R,\mathcal {T})$$f(R,T) gravity

In the present paper we generate a set of solutions describing the interior of a compact star under $$f(R,\mathcal {T})$$f(R,T) theory of gravity which admits conformal motion. An extension of

Plane symmetric model in f(R, T) gravity

A plane symmetric Bianchi-I model is explored in f(R, T) gravity, where R is the Ricci scalar and T is the trace of energy–momentum tensor. The solutions are obtained with the consideration of a

The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology

Abstractf(R, T) gravity is an extended theory of gravity in which the gravitational action contains general terms of both the Ricci scalar R and the trace of the energy-momentum tensor T. In this

Tachyon inflation in $f(R,T)$ gravity

Considering the alternative gravity theory f ( R, T ), where there is a non-minimal coupling between the matter and curvature, the scenario of tachyon inflation is studied. After imposing the



f(R,T) Cosmological Models in Phase Space

We investigate cosmological solutions of f(R,T) modified theories of gravity for perfect fluid in spatially FLRW metric through phase space analysis, where R is Ricci scalar and T denotes the trace

Cosmology from induced matter model applied to 5D f(R,T) theory

It is well known that the universe is undergoing a phase of accelerated expansion. Plenty of models have already been created with the purpose of describing what causes this non-expected cosmic

Friedmann model with viscous cosmology in modified $$f(R,T)$$f(R,T) gravity theory

In this paper, we introduce the bulk viscosity in the formalism of modified gravity theory in which the gravitational action contains a general function $$f(R,T)$$f(R,T), where $$R$$R and $$T$$T

Reconstruction of some cosmological models in f(R,T) cosmology

In this paper, we reconstruct cosmological models in the framework of f(R,T) gravity, where R is the Ricci scalar and T is the trace of the stress-energy tensor. We show that the dust fluid

Analysis of F(R, T) gravity models through energy conditions

This paper is devoted to study the energy conditions in the F(R, T) gravity for a FRW universe with perfect fluid, where R is the Ricci scalar and T is the torsion scalar. We construct the general

Solutions for f(R) gravity coupled with electromagnetic field

In the presence of external, linear/nonlinear electromagnetic fields we integrate $f(R)\sim R+2\alpha \sqrt{R+\mathrm{const.}}$ gravity equations. In contrast to their Einsteinian cousins the

f(R) Theories Of Gravity

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology, and astrophysics. Among numerous alternatives to Einstein's

Kaluza-Klein universe with cosmic strings and bulk viscosity in f(R,T) gravity

A five dimensional Kaluza-Klein cosmological model is considered in the frame work of f(R,T) gravity proposed by Harko et al. (Phys. Rev. D 84:024020, 2011) when the source for energy momentum tensor

f(R) Theories

Various applications of f(R) theories to cosmology and gravity — such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds are reviewed.

The Behavior of Kasner cosmologies with induced matter

We extend the induced matter model, previously applied to a variety of isotropic cases, to a generalization of Bianchi type-I anisotropic cosmologies. The induced matter model is a 5D Kaluza-Klein