http://arxiv.org/abs/1907.04234
We consider higher dimensional massive Brans-Dicke theory with Ricci-flat internal space. The background model is pertubed by a massive gravitating source which is pressureless in the external (our space) but has an arbitrary equation of state (EoS) parameter $\Omega$ in the internal space. We then obtain the exact solution of the system of linearized equations for the perturbations of the metric coefficients and scalar field. For massless scalar field, we demonstrate that, relying on the fine-tuning between parameters $\omega$ and $\Omega$, the model does not contradict gravitational tests and scalar field is not ghost in the case of non-zero $|\Omega|\sim O(1)$ and natural value $|\omega|\sim O(1)$. In general case of massive scalar field, the metric coefficients acquire the Yukawa correction terms where the Yukawa mass scale $m$ is defined by the mass of scalar field. For natural value $\omega\sim O(1)$, the inverse-square law experiments impose the following restriction on the lower bound of the mass: $m\gtrsim 10^{-11}$GeV. The experimental constraints on the parameterized post-Newtonian parameter $\gamma$ requires that the equation of state parameter $\Omega$ must be extremely close to $-1/2$.
O. Akarsu, A. Chopovsky, V. Shulga, et. al.
Wed, 10 Jul 19
20/53
Comments: 7 pages, no figures and tables
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