Geometry of standard cosmology. The initial singularity



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Aguirre Dabán, Eduardo (1994) Geometry of standard cosmology. The initial singularity. In Contribuciones matemáticas. Editorial Complutense, Madrid, pp. 15-39. ISBN 84-7491-510-4


This note is derived from lectures on cosmology given at the Complutense University of Madrid, basically aimed at a mathematical audience.
The author derives the geometrical properties of a cosmological model from a set of seven postulates H1 to H7. At large scales a cosmic fluid is represented by a vector field Z whose integral curves define a congruence of geodesics. The cosmic time and the Hubble parameter are defined in terms of such congruence. The first three hypotheses concern the homogeneity and isotropy of the model. The age of the Universe and the singularity problem are dealt with in hypothesis H4, and H5 is on the behaviour of Z and on the positivity of the Ricci curvature.
Einstein’s equations appear only at the end with H6.

Item Type:Book Section
Additional Information:

Libro-homenaje al Profesor D. Jose Javier Etayo Miqueo

Subjects:Sciences > Physics > Astronomy
Sciences > Mathematics > Geometry
ID Code:20291
Deposited On:06 Mar 2013 15:07
Last Modified:12 Dec 2018 15:13

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