We perform analytical and numerical study of static spherically symmetric
solutions in the context of Brans-Dicke-like cosmological model by Elizalde et
al. with an exponential potential. In this model the phantom regime arises
without the appearance of any ghost degree of freedom due to the specific form
of coupling. For the certain parameter ranges the model contains a regular
solution which we interpret as a wormhole in an otherwise dS Universe. We put
several bounds on the parameter values: ω<0,α2/∣ω∣<10−5,22.7≲ϕ0≲25. The numerical
solution could mimic the Schwarzschild one, so the original model is consistent
with astrophysical and cosmological observational data. However differences
between our solution and the Schwarzschild one can be quite large, so black
hole candidate observations could probably place further limits on the ϕ0
value.Comment: 20 pages, 6 figures, typos & errors correcte