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New integrable models and analytical solutions in f(R) cosmology with an ideal gas

Published version
Peer-reviewed

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Abstract

In the context of f(R)-gravity with a spatially flat FLRW metric containing an ideal fluid, we use the method of invariant transformations to specify families of models which are integrable. We find three families of f(R) theories for which new analytical solutions are given and closed-form solutions are provided.

Description

Journal Title

Physical Review D - Particles, Fields, Gravitation and Cosmology

Conference Name

Journal ISSN

2470-0010
2470-0029

Volume Title

97

Publisher

American Physical Society

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Except where otherwised noted, this item's license is described as All rights reserved
Sponsorship
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/L000636/1)
S. B. acknowledges support by the Research Center for Astronomy of the Academy of Athens in the context of the program “Testing general relativity on cosmological scales” (Ref. number 200/872). A. P. was financially supported by FONDECYT Grants No. 3160121. A. P. thanks the University of Athens for the hospitality provided while part of this work was performed. J. D. B. acknowledges support from the Science and Technology Facilities Council (STFC) of the United Kingdom.