Journal
PHYSICAL REVIEW D
Volume 78, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.78.064038
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Funding
- Polish Ministry of Science and Education [1 P03B 075 29]
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Geometrical and topological properties of the quasiplane Szekeres model and of the plane-symmetric dust model are discussed. Some related comments on the quasihyperbolic 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 t = const sections in the plane-symmetric model; (3) The absence of apparent horizons in the quasiplane and quasihyperbolic models (they are globally trapped); (4) Description of the toroidal topology in the Szekeres coordinates; (5) Consequences of toroidal topology in the nonsymmetric quasiplane model; (6) Avoidance of shell crossings in the toroidal model; (7) Interpretation of the mass function in the quasiplane model, with the toroidal and with the infinite space.
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