Quasi-Hyperbolically Symmetric -Metric.

We carry out a systematic study on the motion of test particles in the region inner to the naked singularity of a quasi-hyperbolically symmetric γ-metric. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with the corresponding results obtained for the axially symmetric γ-metric and the hyperbolically symmetric black hole.

Hyperbolically Symmetric Versions of Lemaitre-Tolman-Bondi Spacetimes.

We study fluid distributions endowed with hyperbolic symmetry, which share many common features with Lemaitre-Tolman-Bondi (LTB) solutions (e.g., they are geodesic, shearing, and nonconformally flat, and the energy density is inhomogeneous).