https://doi.org/10.1140/epjc/s10052-021-09452-7
Regular Article - Theoretical Physics
Virial theorem in scalar tensor fourth order gravity
1
Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, via G. Paolo II, 84084, Fisciano, Italy
2
Istituto Nazionale di Fisica Nucleare (INFN), Gruppo collegato di Salerno, Salerno, Italy
3
Dipartimento di Ingegneria, Università del Sannio, Palazzo Dell’Aquila Bosco Lucarelli, Corso Garibaldi, 107, 82100, Benevento, Italy
Received:
18
February
2021
Accepted:
13
July
2021
Published online:
23
July
2021
In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. 
in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed.
© The Author(s) 2021
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