Hyperboloidal method approach to stellar quasinormal modes and superradiant instabilities

• Grant number: 26/02942-3
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: August 01, 2026
• End date: January 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Maurício Richartz
• Grantee: Gabriel Maia Leão
• Supervisor: Vitor Manuel dos Santos Cardoso
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil
• Institution abroad: Niels Bohr Institute, Denmark
• Associated to the scholarship: 24/18727-9 - Superradiance in relativistic stars, BP.MS

Abstract

The hyperboloidal method is a powerful tool for the analysis of wave propagation around black holes, giving a natural system of coordinates to apply the Sommerfeld boundary conditions. It creates a suitable framework for studying quasinormal modes and has been extensively applied to black holes spacetimes. In this project, we aim to extend this treatment to relativistic stars. The main goal is to apply the hyperboloidal method to ideal, static, charged fluid balls and study the time evolution of wave packets scattering off these objects, giving rise to superradiant amplification, instabilities and the excitation of quasinormal modes. (AU)