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Focusing of geodesic congruences in an accelerated expanding Universe · Around

2012

Focusing of geodesic congruences in an accelerated expanding Universe

Albareti, F. D., Cembranos, J. A. R., de la Cruz-Dombriz, A.

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We study the accelerated expansion of the Universe through its consequences on a congruence of geodesics.

We make use of the Raychaudhuri equation which describes the evolution of the expansion rate for a congruence of timelike or null geodesics.
In particular, we focus on the space-time geometry contribution to this equation.
By straightforward calculation from the metric of a Robertson-Walker cosmological model, it follows that in an accelerated expanding Universe the space-time contribution to the Raychaudhuri equation is positive for the fundamental congruence, favoring a non-focusing of the congruence of geodesics.

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L. P. Eisenhart, Riemannian Geometry
1926
Earlier work this paper cites.
A. Friedmann, Zeitschrift für Physik A 10, 377, 0939-7922 (1922); Zeitschrift für Physik A 21, 326, 0939-7922 (1924); G. Lemaitre, Mon. Not. Roy. Astron. Soc. 91
1936
Earlier work this paper cites.
A. Raychaudhuri, Phys. Rev. 98
1955
Earlier work this paper cites.
R. K. Sachs, Proc. Roy. Soc. Lond
1961
Earlier work this paper cites.
J. Ehlers, Gen. Rel. Grav. 25
1961
Earlier work this paper cites.
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time
1973
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
Earlier work this paper cites.

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