Compact objects as the catalysts for vacuum decays
  We discuss vacuum decays catalyzed by spherical and horizonless objects and
show that an ultra compact object could catalyze a vacuum decay around it
within the cosmological time. The catalytic effect of a horizonless compact
object could be more efficient than that of a black hole since in this case
there is no suppression of the decay rate due to the decrement of its Bekestein
entropy. If there exists another minimum with AdS vacuum in the Higgs potential
at a high energy scale, the abundance of compact objects such as monopoles,
neutron stars, axion stars, oscillons, Q-balls, black hole remnants, gravastars
and so on, could be severely constrained. We find that an efficient enhancement
of nucleation rate occurs when the size of the compact object is comparable to
its Schwarzschild radius and the bubble radius.
