Quasinormal modes of a Schwarzschild black hole

• Grant number: 15/04764-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2015
• End date: May 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Maurício Richartz
• Grantee: Rodrigo de Carvalho Santos
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 13/09357-9 - Physics and geometry of spacetime, AP.TEM

Abstract

We propose a systematic study of several important topics in Mathematics and Physics, culminating in the calculation of the quasinormal modes of a Schwarzschild black hole through the method of continued fractions. The research plan includes, initially, the study of complex functions, power series and the Frobenius method. Following that, the student will be introduced to the theory of General Relativity, including the Schwarzschild metric and its scalar wave equation. At the last stage of the project, the student will learn about the quasinormal modes of a black hole and the continued fraction method, which will be implemented computationally in order to determine the quasinormal frequencies of the Schwarzschild black hole.