Reconstruction of energy conditions from observations and implications for extended theories of gravity

Abstract The attempt to describe the recent accelerated expansion of the Universe includes different propositions for dark energy models and modified gravity theories. Establish their features in order to discriminate and even rule out part of these models using observational data is a fundamental i...

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Main Authors: M. Penna-Lima, S. D. P. Vitenti, M. E. S. Alves, J. C. N. de Araujo, F. C. Carvalho
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6668-9
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author M. Penna-Lima
S. D. P. Vitenti
M. E. S. Alves
J. C. N. de Araujo
F. C. Carvalho
author_facet M. Penna-Lima
S. D. P. Vitenti
M. E. S. Alves
J. C. N. de Araujo
F. C. Carvalho
author_sort M. Penna-Lima
collection DOAJ
description Abstract The attempt to describe the recent accelerated expansion of the Universe includes different propositions for dark energy models and modified gravity theories. Establish their features in order to discriminate and even rule out part of these models using observational data is a fundamental issue of cosmology. In the present work we consider a class of extended theories of gravity (ETG) that are minimally coupled to the ordinary matter fields. In this context, and assuming a homogeneous and isotropic spacetime, we derive the energy conditions for this ETG class. We then put constraints on these conditions using a model-independent approach to reconstruct the deceleration function along with the Joint Light-curve Analysis (JLA) supernova sample, 11 baryon acoustic oscillation and 22 cosmic-chronometer measurements. We also consider an additional condition imposing the strong energy condition only on the ordinary matter. This is to guarantee the presence of only attractive matter in the energy–momentum tensor, at least in the redshift range of the observations, i.e., the recent accelerated expansion of the Universe is due solely to the modifications in the gravity theory. The main result of this work is a general reconstruction of the energy conditions valid for every considered ETG.
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spelling doaj.art-0fdad4484f9d4390ab26aa87c469d2222022-12-22T03:05:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-02-0179211310.1140/epjc/s10052-019-6668-9Reconstruction of energy conditions from observations and implications for extended theories of gravityM. Penna-Lima0S. D. P. Vitenti1M. E. S. Alves2J. C. N. de Araujo3F. C. Carvalho4Instituto de Física, Universidade de BrasíliaCentre for Cosmology, Particle Physics and Phenomenology, Institute of Mathematics and Physics, Louvain UniversityInstituto de Ciência e Tecnologia, Universidade Estadual Paulista (UNESP)Divisão de Astrofísica, Instituto Nacional de Pesquisas EspaciaisUniversidade do Estado do Rio Grande do NorteAbstract The attempt to describe the recent accelerated expansion of the Universe includes different propositions for dark energy models and modified gravity theories. Establish their features in order to discriminate and even rule out part of these models using observational data is a fundamental issue of cosmology. In the present work we consider a class of extended theories of gravity (ETG) that are minimally coupled to the ordinary matter fields. In this context, and assuming a homogeneous and isotropic spacetime, we derive the energy conditions for this ETG class. We then put constraints on these conditions using a model-independent approach to reconstruct the deceleration function along with the Joint Light-curve Analysis (JLA) supernova sample, 11 baryon acoustic oscillation and 22 cosmic-chronometer measurements. We also consider an additional condition imposing the strong energy condition only on the ordinary matter. This is to guarantee the presence of only attractive matter in the energy–momentum tensor, at least in the redshift range of the observations, i.e., the recent accelerated expansion of the Universe is due solely to the modifications in the gravity theory. The main result of this work is a general reconstruction of the energy conditions valid for every considered ETG.http://link.springer.com/article/10.1140/epjc/s10052-019-6668-9
spellingShingle M. Penna-Lima
S. D. P. Vitenti
M. E. S. Alves
J. C. N. de Araujo
F. C. Carvalho
Reconstruction of energy conditions from observations and implications for extended theories of gravity
European Physical Journal C: Particles and Fields
title Reconstruction of energy conditions from observations and implications for extended theories of gravity
title_full Reconstruction of energy conditions from observations and implications for extended theories of gravity
title_fullStr Reconstruction of energy conditions from observations and implications for extended theories of gravity
title_full_unstemmed Reconstruction of energy conditions from observations and implications for extended theories of gravity
title_short Reconstruction of energy conditions from observations and implications for extended theories of gravity
title_sort reconstruction of energy conditions from observations and implications for extended theories of gravity
url http://link.springer.com/article/10.1140/epjc/s10052-019-6668-9
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AT jcndearaujo reconstructionofenergyconditionsfromobservationsandimplicationsforextendedtheoriesofgravity
AT fccarvalho reconstructionofenergyconditionsfromobservationsandimplicationsforextendedtheoriesofgravity