Geometry and topology of the quasi-plane Szekeres model
May, 200830 pages
Published in:
- Phys.Rev.D 78 (2008) 064038,
- Phys.Rev.D 85 (2012) 069903 (erratum)
e-Print:
- 0805.0529 [gr-qc]
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Abstract: (arXiv)
This paper is a revised version of arXiv:0805.0529 and Phys.Rev. D78, 064038 (2008), taking into account the erratum published in Phys.Rev. D85, 069903(E) (2012). Geometrical and topological properties of the quasi-plane Szekeres model and of the plane symmetric dust model are discussed. Some related comments on the quasi-hyperbolical model are made. These properties include: (1) The pattern of expansion in the plane symmetric case, and the Newtonian model that imitates it/ (2) The possibility of toroidal topology of the const sections in the plane symmetric model/ (3) The absence of apparent horizons in the quasi-plane and quasi-hyperbolic models (they are globally trapped)/ (4) Description of the toroidal topology in the Szekeres coordinates/ (5) Interpretation of the mass function in the quasi-plane model.Note:
- 14 pages, 6 figures/ old sections 8, 10 and 11 removed, the remaining ones re-edited for consistency. This is a corrected version that takes into account the erratum published in Phys.Rev. D85, 069903(E) (2012)
- 04.20.Jb
- symmetry: planar
- torus: topology
- topological
- geometry
- horizon
References(29)
Figures(7)