Vladimir Folomeev, Douglas Singleton
In this paper we investigate gravitationally bound, spherically symmetric
equilibrium configurations consisting of ordinary (polytropic) matter
non-minimally coupled to an external chameleon scalar field. We show that this
system has static, regular, asymptotically flat general relativistic solutions.
The properties of these spherical configurations, such as total mass,
distribution of matter, and size, depend strongly on the surrounding scalar
field. The mass is found in terms of the parameter $\sigma$ which is
proportional to the central mass density of the ordinary matter. We perform a
stability analysis of these spherical solutions and find an upper bound for
$\sigma$ where dynamical instability occurs.
View original:
http://arxiv.org/abs/1112.1786
No comments:
Post a Comment