Geodesics of the hyperbolically symmetric black hole
  We carry out a systematic study on the motion of test particles in the region
inner to the horizon of a hyperbolically symmetric black hole. The geodesic
equations are written and analyzed in detail. The obtained results are
contrasted with the corresponding results obtained for the spherically
symmetric case. It is found that test particles experience a repulsive force
within the horizon, which prevents them to reach the center. These results are
obtained for radially moving particles as well as for particles moving in the
$\theta-R$ subspace. To complement our study we calculate the precession of a
gyroscope moving along a circular path (non--geodesic) within the horizon. We
obtain that the precession of the gyroscope is retrograde in the rotating
frame, unlike the precession close to the horizon ($R=2m+\epsilon$) in the
Schwarzschild spacetime, which is forward.
