Cracking of general relativistic anisotropic polytropes
  We discuss the effect that small fluctuations of local anisotropy of
pressure, and energy density, may have on the occurrence of cracking in
spherical compact objects, satisfying a polytropic equation of state. Two
different kind of polytropes are considered. For both, it is shown that
departures from equilibrium may lead to the appearance of cracking, for a wide
range of values of the parameters defining the polytrope. Prospective
applications of the obtained results, to some astrophysical scenarios, are
pointed out.
