| Título: | Geometry of standard cosmology. The initial singularity |
| Autores: | Aguirre Dabán, Eduardo |
| Tipo de documento: | texto impreso |
| Editorial: | Editorial Complutense, 1994 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Física: Astronomía , Materia = Ciencias: Matemáticas: Geometría , Tipo = Sección de libro |
| Resumen: |
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 ?uid is represented by a vector ?eld Z whose integral curves de?ne a congruence of geodesics. The cosmic time and the Hubble parameter are de?ned in terms of such congruence. The ?rst 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. |
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