Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate

Abstract

In this work, I present exact cosmological solutions from Wesson's Induced Matter Model application to a general 5D metric in f(R,T) theory of gravity. The non-conservation of the energy-momentum tensor, predicted by f(R,T) theory, allows the derivation of a relation that describes the time evolution of the extra coordinate, revealing its compactification. It is showed that such a compactification could induce the effects of an accelerated expansion in the observable universe.

arXiv comment8 pages, 4 figures. Accepted for publication in European Physical Journal C

References in corpus (32)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• An Alternative to Compactification
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• f(R,T) gravity
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Kaluza-Klein Gravity
• Braneworld models of dark energy
• Reconstruction of some cosmological models in f(R,T) gravity
• A Constrained Standard Model from a Compact Extra Dimension
• f(R,T) Cosmological Models in Phase Space
• Relic Gravity Waves from Braneworld Inflation
• Static Spherically Symmetric Solutions in F(R) Gravity
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• Turning Around the Sphaleron Bound: Electroweak Baryogenesis in an Alternative Post-inflationary Cosmology
• On the viability of the Palatini form of 1/R gravity
• Spherically symmetric brane spacetime with bulk $f(\mathcal{R})$ gravity
• Solutions for f(R) gravity coupled with electromagnetic field
• Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory
• Kaluza-Klein Towers on General Manifolds
• The Behavior of Kasner Cosmologies with Induced Matter
• Classical Trace Anomaly
• An analytic model for the transition from decelerated to accelerated cosmic expansion
• Anisotropic evolution of 5D Friedmann-Robertson-Walker spacetime
• Exact Solutions of Five Dimensional Anisotropic Cosmologies
• Dark matter and cosmic acceleration from Wesson's IMT
• Induced Matter Theory of gravity from a Weitzenböck 5D vacuum and pre-big bang collapse of the universe

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