https://doi.org/10.1140/epjc/s10052-020-8012-9
Regular Article - Theoretical Physics
On variations of G in the geometric scalar theory of gravity
1
Center of Gravitation and Fundamental Metrology, VNIIMS, Ozyornaya ul. 46, Moscow, 119361, Russia
2
Institute of Gravitation and Cosmology, RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russia
3
National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russia
* e-mail: kb20@yandex.ru
Received:
7
April
2020
Accepted:
30
April
2020
Published online:
18
May
2020
We analyze the possible variability of the effective Newtonian gravitational constant 
in space and time in the framework of the geometric scalar theory of gravity suggested by Novello et al. (JCAP 06:014, 2013). Spatial variations of in the Solar system are shown to have orders of magnitude detectable by modern instruments. As to variations of with cosmological time, it is shown (at least for the particular formulation of the theory discussed in the original paper and the corresponding cosmological models) that these variations are more rapid than is allowed by observations.
© The Author(s), 2020
