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Advances in Astronomy
Volume 2009 (2009), Article ID 217420, 34 pages
Review Article

Cosmography and Large Scale Structure by 𝑓 ( 𝑅 ) -Gravity: New Results

Dipartimento di Scienze Fisiche, Università degli Studi di Napoli “Federico II” and INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Ed. N, via Cinthia, 80126 Napoli, Italy

Received 31 January 2009; Accepted 13 December 2009

Academic Editor: Zdzislaw E. Musielak

Copyright © 2009 Salvatore Capozziello and Vincenzo Salzano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The so-called 𝑓 ( 𝑅 ) -gravity has recently attracted a lot of interest since it could be, in principle, able to explain the accelerated expansion of the Universe without adding unknown forms of dark energy/dark matter but, more simply, extending the General Relativity by generic functions of the Ricci scalar. However, apart several phenomenological models, there is no final 𝑓 ( 𝑅 ) -theory capable of fitting all the observations and addressing all the issues related to the presence of dark energy and dark matter. An alternative approach could be to “reconstruct” the form of 𝑓 ( 𝑅 ) starting from data without imposing particular classes of model. Besides, adopting the same philosophy, we take into account the possibility that galaxy cluster masses, estimated at X-ray wavelengths, could be explained, without dark matter, reconstructing the weak-field limit of analytic 𝑓 ( 𝑅 ) models. The corrected gravitational potential, obtained in this approximation, is used to estimate the total mass of a sample of 12 well-shaped clusters of galaxies.