Black hole scattering: the relation between the time and the frequency domains

• Grant number: 17/09264-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2017
• End date: June 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Maurício Richartz
• Grantee: Guilherme Dias Belarmino
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil
• Associated research grant: 13/09357-9 - Physics and geometry of spacetime, AP.TEM

Abstract

Wave phenomena are present in several areas and can be understood from two different perspectives: the formulation in the time domain and the formulation in the frequency domain. Using the wave equation around a Schwarzschild spacetime, this project explores these two formulation. First, they will be studied independently; later, their relation will be analyzed. During all the project, we will emphasize the typical numerical methods used in black hole perturbation theory. (AU)