Banca de DEFESA: EVELIN TATIANE MENDES TORQUATO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : EVELIN TATIANE MENDES TORQUATO
DATE: 26/02/2026
TIME: 14:00
LOCAL: sala virtual
TITLE:

Metric-Affine Formulation of Gravity and Mapping of RBG Theories. McVittie's solution

KEY WORDS:

Modified gravity, Metric-affine formalism, McVittie solution.

PAGES: 60
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

The metric-affine formulation of gravitational theories, also known as the Palatini formalism—where the connection and the metric are treated as fundamental and independent geometric entities—has established itself as a promising approach in the context of modified gravity theories and extensions of General Relativity (GR). Within this formalism, it is possible to construct Ricci-Based Gravity (RBG) theories that preserve the second-order character of the field equations, even in nontrivial extensions of GR. These models provide consistent alternatives for describing physical phenomena that are still under intense debate, such as the accelerated expansion of the universe, primordial inflation, black hole singularities, and the possibility of alleviating or even eliminating the need to introduce exotic (dark) matter components. This research aims to study the mapping method, a powerful tool that establishes a direct correspondence between solutions of GR and the domain of RBG theories within the metric-affine formalism, thereby facilitating the derivation of new solutions in a rather straightforward manner. Advancing this study will help establish a conceptual foundation for future investigations. As an illustration of the method’s potential applications, we consider the classical McVittie solution, which describes a black hole embedded in an expanding universe and has recently regained interest due to the exploration of possible modifications in black hole evolution arising from their interaction with cosmological dynamics. By employing the mapping technique, we obtained the equivalent solution in the metric-affine framework for EiBI gravity, a theory belonging to the RBG class. The results show that the mapping method is an operationally effective and consistent tool, establishing a solid methodological foundation that simplifies the treatment of matter–geometry couplings in metric-affine theories.

COMMITTEE MEMBERS:
Presidente - 1740360 - VICTOR IGNACIO AFONSO
Interno - ***.264.064-** - JOSÉ GRIMÁRIO DE LIMA JÚNIOR - UFAL
Interno - 1459079 - FRANCISCO DE ASSIS DE BRITO
Externo à Instituição - DIEGO RUBIERA-GARCIA