3 papers
gr-qc2025
Decomposition of the connection in affine models of gravity: Can the connection tell us something about the metric?
Oscar Castillo-Felisola, Bastian Grez, Aureliano Skirzewski +1
In physics geometrical connections are the mean to create models with local symmetries (gauge connections), as well as general diffeomorphisms invariance (affine connections). Here…
gr-qc2025
On the Kaluza-Klein geometric theory in affine spaces
Oscar Castillo-Felisola, Aureliano Skirzewski, Jefferson Vaca-Santana
In this work, we develop a generalization of Kaluza-Klein theory by considering a purely affine framework, without assuming a prior metric structure. We formulate the dimensional r…
gr-qc2024
A polynomial affine model of gravity: after ten years
Oscar Castillo-Felisola, Bastian Grez, Manuel Morocho-López +4
The polynomial affine model of gravity was proposed as an alternative to metric and metric-affine gravitational models. What at the beginning was thought as a source of unpredictab…