http://arxiv.org/abs/1506.08585
We present derivation of the basic equations and boundary conditions for relativistic static spherically symmetric stars (SSSS) in the model of minimal dilatonic gravity (MDG) which offers an alternative and simultaneous description of the effects of dark matter (DM) and dark energy (DE) using one dilaton field $\Phi$. The numerical results for a realistic equation of state (EOS) MPA1 of neutron matter are represented for the first time. The existing three very different scales: the Compton length of the scalar field $\lambda_\Phi$, the star’s radius $r^*$, and the finite radius of MDG Universe $r_{U}$ are a source of numerical difficulties. Owing to introduction of a new dark scalar field $\varphi=\ln(1+\ln\Phi)$ we were able to study numerically an unprecedentedly large interval of $\lambda_\Phi$ and discovered existence of $\lambda_\Phi^{crit}\approx 2.1\, km$ for NS with MPA1 EOS. It is related with bifurcation of the physical domain in phase space of the system. Some novel physical consequences are discussed.
P. Fiziev
Tue, 30 Jun 15
5/75
Comments: 10 pages, Latex file, 10 figures
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