Geodesic motion around the rotating Kiselev black hole

• Grant number: 23/18117-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2024
• End date: April 30, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Bertha María Cuadros Melgar
• Grantee: Diogo Gripa Rodrigues
• Host Institution: Escola de Engenharia de Lorena (EEL). Universidade de São Paulo (USP). Lorena , SP, Brazil
• Associated scholarship(s): 25/07262-8 - Quasinormal modes of astronomical black holes: Observational comparison and detectability using Kiselev solution, BE.EP.IC

Abstract

After the first direct observation of a black hole binary system collapsing to form a sole object through gravitational waves, black hole physics has attracted more attention and assumed a leading role in research. Rotating solutions or external fluids appear as a good alternative to model astronomical black holes existing in our observable universe. One of these solutions is the rotating Kiselev metric, which recovers the classical solutions as well as generates new solutions characterized by two parameters that describe different anisotropic fluids around the black hole.In this research plan we aim to study geodesic trajectories around these black holes, relaxing the equatorial orbit condition and using finite differences method to numerically solve the geodesic equations set up in a Python program.