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 gravity, also known as the Palatini formalism, where the connection and the metric are treated as independent fundamental geometric entities, has emerged as a promising approach in the context of modified gravity theories and extensions of General Relativity. Within this framework, it is possible to construct Ricci-based Gravity models theories (RBGs) that preserve the second-order nature of the field equations, even in nontrivial extensions of General Relativity. These models provide consistent alternatives for describing poorly understood physical phenomena, such as the accelerated expansion of the universe, primordial inflation, and black hole singularities, while potentially alleviating or even eliminating the need for exotic components. This research aims to present a theoretical review of the metric-affine formalism and the underlying differential structures that support it, establishing a conceptual foundation for future investigations. The main application will focus on the McVittie solution, which describes a black hole embedded in an expanding universe within the framework of General Relativity, analyzing it through the lens of metric-affine theories, by making use of mapping techniques developed in recent years. This ongoing work seeks to explore possible modifications in gravitational dynamics and in matter–geometry coupling effects. It is expected that this analysis will contribute to a deeper understanding of the influence of large-scale cosmic expansion on black holes, through its relation with alternative geometric structures, and open new perspectives for applications in other cosmological models and modified gravity scenarios.

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