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arXiv · 1208.2604

Geometry of the quasi-hyperbolic Szekeres models

Andrzej Krasiński·Krzysztof Bolejko
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Abstract

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.

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Andrzej Krasiński, Krzysztof Bolejko. 2012-12-19. Geometry of the quasi-hyperbolic Szekeres models. https://doi.org/10.1103/physrevd.86.104036

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