Cosmic acceleration in asymptotically Ricci flat Universe

We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of \(f(R)\) metric gravity using an exponential model. We show that \(f(R)\) gravity may lead to a vanishing effective cosmological constant in the far future (i.e. \(R\rightarrow 0\)) and yet produce a transient...

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Bibliographic Details
Published inarXiv.org
Main Authors Jaime, Luisa G, Salgado, Marcelo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.11.2017
Subjects
Acceleration
Astronomical models
Asymptotic properties
Cosmological constant
Gravitation
Physics - Cosmology and Nongalactic Astrophysics
Physics - General Relativity and Quantum Cosmology
Universe
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Summary:We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of \(f(R)\) metric gravity using an exponential model. We show that \(f(R)\) gravity may lead to a vanishing effective cosmological constant in the far future (i.e. \(R\rightarrow 0\)) and yet produce a transient accelerated expansion at present time with a potentially viable cosmological history. This is in contrast with several \(f(R)\) models which, while viable, produce in general a non-vanishing effective cosmological constant asymptotically in time (\(R\rightarrow 4\Lambda_{\rm eff}\)). We also show that relativistic {stars in asymptotically flat spacetimes can be supported within this framework without encountering any singularity, notably in the Ricci scalar \(R\).
ISSN:2331-8422
DOI:10.48550/arxiv.1711.08026