  The Hawking-Penrose singularity theorem states that a singularity forms
inside a black hole in general relativity. To remove this singularity one must
resort to a more fundamental theory. Using a corrected dynamical equation
arising in loop quantum cosmology and braneworld models, we study the
gravitational collapse of a perfect fluid sphere with a rather general equation
of state. In the frame of an observer comoving with this fluid, the sphere
pulsates between a maximum and a minimum size, avoiding the singularity. The
exterior geometry is also constructed. There are usually an outer and an inner
apparent horizon, resembling the Reissner-Nordstr\"om situation. For a distant
observer the {horizon} crossing occurs in an infinite time and the pulsations
of the black hole quantum "beating heart" are completely unobservable. However,
it may be observable if the black hole is not spherical symmetric and radiates
gravitational wave due to the quadrupole moment, if any.
