Introduction to black hole thermodynamics

• Grant number: 18/18987-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): November 01, 2018
• Effective date (End): October 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Raphael Santarelli
• Grantee: Thailise de Oliveira Candido
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 13/09357-9 - Physics and geometry of spacetime, AP.TEM

Abstract

Einstein's Theory of General Relativity has been the most successful theory of gravitation until now, and one of its most intriguing predictions is the existence of black holes, objects with such a strong gravitational field that not even light can escape from them, thus they do not have temperature since there is no emission of radiation. It remained like that until Hawking applied quantum mechanics in a region close to a black hole and proved Bekenstein's hypothesis that black holes have entropy and temperature, emitting therefore Hawking radiation, and its physics laws are related to the classical laws of thermodynamics. The current project of scientific initiation intends to investigate how these laws are related, and cases of black holes evaporation. For this purpose, literature reviews and deductions of the main results will be performed in order to consolidate the theories. The scheduled project duration is 12 months, and at the end of each semester the results will be presented in reports.