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2010

Redshift propagation equations in the $\beta' \neq 0$ Szekeres models

Krasiński, Andrzej, Bolejko, Krzysztof

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The set of differential equations obeyed by the redshift in the general $\beta' \neq 0$ Szekeres spacetimes is derived.

Transversal components of the ray's momentum have to be taken into account, which leads to a set of 3 coupled differential equations.
It is shown that in a general Szekeres model, and in a general Lema\^{\i}tre -- Tolman (L--T) model, generic light rays do not have repeatable paths (RLPs): two rays sent from the same source at different times to the same observer pass through different sequences of intermediate matter particles.
The only spacetimes in the Szekeres class in which {\em all} rays are RLPs are the Friedmann models.

Redshift propagation equations in the $\beta' \neq 0$ Szekeres models · Around

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R. Kantowski and R. K. Sachs, J. Math. Phys
1966
Earlier work this paper cites.
P. Szekeres, Commun. Math. Phys
1975
Earlier work this paper cites.
P. Szekeres, Phys. Rev
1975
Earlier work this paper cites.
S. W. Goode and J. Wainwright, Phys. Rev
1982
Earlier work this paper cites.
J. D. Barrow and J. Stein-Schabes, Phys. Lett
1984
Earlier work this paper cites.
C. Hellaby, Class. Quant. Grav
1996
Earlier work this paper cites.
G. Lemaître, Ann. Soc. Sci. Bruxelles
1997
Earlier work this paper cites.
R.C. Tolman, Proc. Nat. Acad. Sci. USA
1997
Earlier work this paper cites.
A. Krasiński, Inhomogeneous Cosmological Models
1997
Earlier work this paper cites.

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