2024-03-28T11:55:39Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00022915
2023-01-16T04:12:34Z
336:695:696
Newton law in covariant unimodular F(R) gravity
Nojiri, S.
67461
Odintsov, S.D.
67462
Oikonomou, V.K.
67463
We investigate the Newton law in the unimodular F(R) gravity. In the standard F(R) gravity, due to the extra scalar mode, there often appear the large corrections to the Newton law and such models are excluded by the experiments and/or the observations. In the unimodular F(R) gravity, however, the extra scalar mode become not to be dynamical due to the unimodular constraint and there is not any correction to the Newton law. Even in the unimodular Einstein gravity, the Newton law is reproduced but the mechanism is a little bit different from that in the unimodular F(R) gravity. We also investigate the unimodular F(R) gravity in the covariant formulation. In the covariant formulation, we include the three-form field. We show that the three-form field could not have any unwanted property, like ghost nor correction to the Newton law. In the covariant formulation, however, the above extra scalar mode becomes dynamical and could give a correction to the Newton law. We also show that there are no difference in the Friedmann–Robertson–Walker (FRW) dynamics in the non-covariant and covariant formulation.
journal article
World Scientific
2016-09-28
application/pdf
Modern Physics Letters A
30
31
1650172
1650172
http://doi.org/10.1142/S0217732316501728
http://hdl.handle.net/2237/25095
0217-7323
https://nagoya.repo.nii.ac.jp/record/22915/files/1605_00993v1.pdf
eng
https://doi.org/10.1142/S0217732316501728
Electronic version of an article published as [Modern Physics Letters A. v.31, n.30, 2016, p.1650172] [http://doi.org/10.1142/S0217732316501728] © [copyright World Scientific Publishing Company] [http://www.worldscientific.com/worldscinet/mpla]