Geometry of the quasi-hyperbolic Szekeres models

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Geometric properties of the quasi-hyperbolic Szekeres models are discussed and related to the quasi-spherical Szekeres models. Typical examples of shapes of various classes of 2-dimensional coordinate surfaces are shown in graphs; for the hyperbolically symmetric subcase and for the general quasi-hyperbolic case. An analysis of the mass function M(z) is carried out in parallel to an analogous analysis for the quasi-spherical models. This leads to the conclusion that M(z) determines the density of rest mass averaged over the whole space of constant time.