### Impacto

### Downloads

Downloads per month over past year

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

## Abstract

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 |

### Origin of downloads

Repository Staff Only: item control page