Work

Generalized Geometry for Relativistic Theories of Gravity

Year: 2020
Type: dissertation
Abstract: [EN] The TGR is constructed over a Pseudo-Riemaniann manifolod, where the torsion is assumed to vanish. However, there is not any physical argument behind it and when torsion is allowed, the spacetime in which the theory is constructed generalizes, from a $V_4$ to a $U_4$ spacetime, which carries several interesting consequences to be analyzed in this work. The most important one is the idea that the spin angular momentum acts, along with mass, as a source of gravitational interaction. In the first part of this work the TGR is formulated from an action principle. Later, the torsionless restriction is removed and the same procedure leads to slightly different field equations, in which spin is involved. Finally, requiring to curved spacetimes to posses symmetry under local Poincaré transformations, the same $U_4$ spacetime is deduced. Its implications are discussed in the end.
Language: English
Open Access status: green
OpenAlex ID: W3160389287
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