The Third Mexican Meeting on Mathematical and Experimental Physics brought together scientists from many different fields. The Meeting was divided into three Symposia: (i) Physical Chemistry, (ii) Biological Physics, (iii) Gravitation and Cosmology. This proceedings presents the papers of the Gravitation and Cosmology Symposium. The main goal of the Gravitation and Cosmology Symposium was to present the perspectives of scientists in the fields of cosmology and gravitation regarding their current work as well as the anticipated development of their research fields in the near future.