caa a22 4500 467886954 CHVBK 20180406152737.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s10714-006-0328-8 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0328-8 Sotiriou Thomas SISSA-International School of Advanced Studies, via Beirut 2-4, 34014, Trieste, Italy aut The nearly Newtonian regime in non-linear theories of gravity [Elektronische Daten] [Thomas Sotiriou] The present paper reconsiders the Newtonian limit of models of modified gravity including higher order terms in the scalar curvature in the gravitational action. This was studied using the Palatini variational principle in Meng and Wang (Gen. Rel. Grav. 36, 1947 (2004)) and Domínguez and Barraco (Phys. Rev. D 70, 043505 (2004)) with contradicting results. Here a different approach is used, and problems in the previous attempts are pointed out. It is shown that models with negative powers of the scalar curvature, like the ones used to explain the present accelerated expansion, as well as their generalization which include positive powers, can give the correct Newtonian limit, as long as the coefficients of these powers are reasonably small. Some consequences of the performed analysis seem to raise doubts for the way the Newtonian limit was derived in the purely metric approach of fourth order gravity [Dick in Gen. Rel. Grav. 36, 217 (2004)]. Finally, we comment on a recent paper [Olmo in Phys. Rev. D 72, 083505 (2005)] in which the problem of the Newtonian limit of both the purely metric and the Palatini formalism is discussed, using the equivalent Brans-Dicke theory, and with which our results partly disagree. Springer Science+Business Media, Inc., 2006 Newtonian limit nationallicence f ( R ) gravity nationallicence Palatini variation nationallicence Metric variation nationallicence General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/9(2006-09-01), 1407-1417 0001-7701 38:9<1407 2006 38 10714 https://doi.org/10.1007/s10714-006-0328-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0328-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sotiriou Thomas SISSA-International School of Advanced Studies, via Beirut 2-4, 34014, Trieste, Italy aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/9(2006-09-01), 1407-1417 0001-7701 38:9<1407 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer