Banca de QUALIFICAÇÃO: PATRÍCIA MARIA DE CARVALHO

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : PATRÍCIA MARIA DE CARVALHO
DATE: 26/06/2024
TIME: 14:00
LOCAL: Remoto
TITLE:

APLICAÇÃO DA GEOMETRIA FINSLERIANA NA GRAVITAÇÃO MASSIVA

KEY WORDS:

Finsler geometry, geodesics, bigravity, gravitational gravity, bimetric geometric.

PAGES: 35
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

This paper aims to establish a geometric framework for bimetric gravity through Finsler geometry. Motivated by the study of geodesic motion of a particle minimally coupled to two metrics, we explore Finsler geometry based on a specific metric . The main objectives of the project include: investigating the general geometric structure, encompassing geodesics, spray coefficients, connections, and associated curvatures, with partial results already achieved in this direction (such as geodesics as discussed by Akarami, Koivisto, and Solomon in 2015); studying the simplest theoretical model of field, specifically the scalar field in a non-dynamic Finsler context, addressing challenges such as massive integration; and finally, the most ambitious goal is the construction of Finsler gravity, exploring various methodological proposals to determine if any yield a theory equivalent to bimetric gravity. This project aims to significantly contribute to theoretical advancements in understanding bimetric gravity through the application of Finsler geometry.

COMMITTEE MEMBERS:
Externo ao Programa - 1715572 - ARSEN ROBERT MELIKYAN - nullExterna ao Programa - 4177635 - CAROLINA MATTE GREGORY - nullExterno à Instituição - DANIEL ORDINE VIEIRA LOPES - IFG