On the non-attractive character of gravity in f(R) theories



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Albareti, F. D. and Ruiz Cembranos, José Alberto and Cruz Dombriz, Álvaro de la and Dobado González, Antonio (2013) On the non-attractive character of gravity in f(R) theories. Journal of Cosmology and Astroparticle Physics (7). ISSN 1475-7516

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Official URL: http://dx.doi.org/10.1088/1475-7516/2013/07/009


Raychaudhuri equation is found provided that particular energy conditions are assumed and regardless the considered solution of the Einstein's equations. This fact is usually interpreted as a manifestation of the attractive character of gravity. Nevertheless, a positive contribution to Raychaudhuri equation from space-time geometry should occur since this is the case in an accelerated expanding Robertson-Walker model for congruences followed by fundamental observers. Modified gravity theories provide the possibility of a positive contribution although the standard energy conditions are assumed. We address this important issue in the context of f(R) theories, deriving explicit upper bounds for the contribution of space-time geometry to the Raychaudhuri equation. Then, we examine the parameter constraints for some paradigmatic f(R) models in order to ensure a positive contribution to this equation. Furthermore, we consider the implications of these upper bounds in the equivalent formulation of f(R) theories as a Brans-Dicke model.

Item Type:Article
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©2013 IOP Publishing Ltd and Sissa Medialab srl
This work has been supported by MINECO (Spain) project numbers FIS2011-23000, FPA2011-27853-C02-01 and Consolider-Ingenio MULTIDARK CSD2009-00064. AdlCD also acknowledges financial support from Marie Curie - Beatriu de Pinós contract BP-B00195, Generalitat de Catalunya and ACGC, University of Cape Town.

Uncontrolled Keywords:Energy Conditions, Relativistic Theory, Extended Theories, Machs Principle, Cpt Violation, Dark Energy, Supergravity, Supersymmetry, Cosmology, Models
Subjects:Sciences > Physics
ID Code:22935
Deposited On:24 Sep 2013 16:35
Last Modified:31 Dec 2020 00:01

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