Study of the general theories of gravitation: Lovelock-Cartan-Horndeski Gravity

We explore generalized gravitational theories that have at most second-order equations of motion in the metric. In this way comes Lovelock’s theory, which is the generalization of General Relativity and describes a gravitational theory in arbitrary dimensions. The next step is to include more degrees of freedom by admitting torsion in the theory and thus we arrive at the generalization of Lovelock’s theory called the Cartan-Lovelock theory. Another generalization that can be obtained is to stay in 4 dimensions and include a scalar field so that second-order equations of motion are obtained in the metric and the scalar field, this theory is known as Horndeski’s theory. In this thesis, we explore a step further from this generalized theory by including torsion and obtaining the Cartan-Lovelock-Horndeski theory. First-order formalism and differential forms are used for the construction of all these theories.

Author dc:creator

• Ramirez Trino, Eddy Ariel

Statement dc:rights

• Open Access

Language dc:language.iso

en

Repository record dc:identifier.uri

https://app.uff.br/riuff/handle/1/43171

OAI identifier oai:identifier

oai:app.uff.br:1/43171