The behavior of orbits in axially symmetric solutions of the Einstein Field Equations.

• Grant number: 23/09170-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2023
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Ronaldo Savioli Sumé Vieira
• Grantee: Luiz Henrique Ribeiro Daniel
• Host Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The modeling of orbits in general relativity is an essential field of study in astrophysics.In particular, the study of galactic dynamics is based on analyzing the orbits in metrics with axial symmetry. Several works involving orbital dynamics of stars in the Milky Way model the Galactic diskby Miyamoto-Nagai's potential. Focusing on approaching the problem in general relativity, this project aims to study the stability of orbits and detect chaotic orbits outside the axis ofsymmetry of the relativistic extension of Miyamoto-Nagai potential, comparing the results obtainedin this metric with the corresponding in Newtonian gravity.